Oh boy...
Yes...
It was NEVER stated for a fact, only speculation. Go read the Joker's bio on the DC comics website for god sake...
And before you go off about origins:
In Batman: The Killing Joke, Alan Moore wrote an alternate origin of the Joker, and thus the Red Hood; the man who would become the Joker is portrayed as a former chemical engineer, now a struggling stand-up comedian with a pregnant wife. Approached by the Red Hood gang to lead a raid of his former workplace, the Ace Chemical plant, he accepts, in order to make enough money to start a better life for his family. The gang gives him the costume of the Red Hood, which has been worn by many men before - this way, the gang is able to falsely identify the Red Hood as their leader on all the crimes they perform, with the police unaware that a different dupe is behind the hood every time. The day of the proposed robbery, however, police inform him that his wife died in a freak accident. He attempts to back out of the robbery, but the gang strong-arms him into keeping his commitment to them. During the robbery, the plant's security men spot the intruders and shoot the other criminals dead. The engineer tries to flee, but Batman appears and corners him on the plant's catwalk. Terrified, he jumps off the catwalk into the chemical basin to escape. As in the previous origin story, he goes insane after discovering what the chemicals have done to his face, and becomes the Joker. Strangely enough, the Joker himself was reluctant to admit that this iteration of his story was definitive, stating:
"Sometimes I remember it one way, sometimes another... if I'm going to have a past, I prefer it to be multiple choice!"
The way The Joker's origin was presented in TDK was exactlly the way it should be, surrounded in mystery and left up to the viewer to decide the outcome.
You dont need to lecture me on the ambiguous nature of the Jokers origin. Maybe YOU should go back and look at every origin story about the Joker since February of 1951. In all of the origin stories the same basic story arc is used; Joker falls into a vat of chemicals because of Batman. His origin as said by Mister J is multiple choice, not fill in the blank. The only thing debatable is who the Joker was before the accident. Here is the wikipedia on the matter if you need to brush up on your Batman history.
The first origin account, Detective Comics #168 (February 1951), revealed that the Joker had once been a criminal known as the Red Hood. In the story, he was a scientist looking to steal from the company that employs him and adopts the persona of Red Hood. After committing the theft, which Batman thwarts, Red Hood falls into a vat of chemical waste. He emerges with bleached white skin, red lips, green hair, and a permanent grin.[15][16]
The most widely cited backstory, which the official DC Comics publication, Who's Who in the DC Universe, credits as the most widely believed account, can be seen in The Killing Joke. It depicts him as originally being an engineer at a chemical plant who quits his job to become a stand-up comedian, only to fail miserably. Desperate to support his pregnant wife, Jeannie, the man agrees to help two criminals break into the plant where he was formerly employed. In this version of the story, the Red Hood persona is given to the inside man of every job (thus it is never the same man twice); this makes the man appear to be the ringleader, allowing the two criminals to escape. During the planning, police contact him and inform him that his wife and unborn child have died in a household accident.[12][13]
The Joker emerges from chemical-ridden water and goes insane in The Killing Joke. Art by Brian Bolland.
Stricken with grief, he attempts to back out of the plan, but the criminals strong-arm him into keeping his promise. As soon as they enter the plant, however, they are immediately caught by security and a shoot-out ensues, in which the two criminals are killed. As the engineer tries to escape, he is confronted by Batman, who is investigating the disturbance. Terrified, the engineer leaps over a rail and plummets into a vat of chemicals. When he surfaces in the nearby reservoir, he removes the hood and sees his reflection: bleached chalk-white skin, ruby-red lips, and bright green hair. These events, coupled with his other misfortunes that day, drive the engineer completely insane, resulting in the birth of the Joker.[12][13]
The story "Pushback" (Batman: Gotham Knights # 50-55) supports part of this version of the Joker's origin story. In it, a witness (who coincidentally turns out to be Edward Nigma) recounts that the Joker's wife was kidnapped and murdered by the criminals in order to force the engineer into performing the crime. In this version, the pre-accident Joker is called Jack.[17]
The Paul Dini-Alex Ross story "Case Study" proposes a far different theory. This story suggests that the Joker was a sadistic gangster who worked his way up Gotham's criminal food chain until he was the leader of a powerful mob. Still seeking the thrills that dirty work allowed, he created the Red Hood identity for himself so that he could commit small-time crimes. Eventually, he had his fateful first meeting with Batman, resulting in his disfigurement. However, the story suggests that the Joker retained his sanity, and researched his crimes to look like the work of a sick mind in order to pursue his vendetta against Batman.
The latter origin is featured in the second arc of Batman Confidential (#7-12). This origin once more states his name as Jack, and eliminates the Red Hood identity. Bored with his work, Jack becomes obsessed with Batman, and crashes a museum ball to attract his attention. In doing so, he badly injures Lorna Shore (whom Bruce Wayne is dating). An enraged Batman disfigures his face with a batarang as he escapes. In retaliation, a furious Batman sells Jack out to mobsters whom he had crossed, who torture Jack in a disused chemical plant. Turning the tables, Jack kills several of his assailants, but falls into an empty vat. Wild gunfire punctures the chemical tanks above him, and the resultant flood of toxins alters his appearance to that of the Joker or a clown.[18]
So yeah, Batman created the Joker. Dont get dense.