Not no connection. It is possible to make a character in which it would be its own thing from Ford's Han but it could still be Han and still be reckless, abrasive, a smart ass, daring, but he doesn't need to exactly be Han. He isn't full formed right? And that would be better, yes. Since this takes place years before the OT, it's conceivable you have more wiggle room to do some interesting stuff and not be held down by preconceptions of him. Look, you already run into fundamental problems with the inherent flawed notion by making a supporting character a main character so if you're in that (it's like Jack Sparrow in OST), why not go out there a bit more?
And that's part of the problem. Lucasfilm needs to deliver on what we know about SW. It can't break out of its box.
If anything, Han should be the shoots first bastard throughout this whole movie. He truly doesn't change and show "there's more to him than money" until ANH when he saves Luke (already a fine young Han Solo story but what the **** do I know?). Until that point before we meet him in the Cantina, we get a glimpse of who he is before all of this, and that's selfish to the bone. Add him being younger to the equation, and he's even more of these things, with the inexperience. It could almost be a Sean Connery Bond film where he doesn't change, it's just a one off adventure where he does his thing and that's it. Or if you want to add some humanity to it, take cues from Craig's Casino Royale. But the whole point to Han was he's the pirate/thief/scoundrel archetype. Make a pirate movie crossed with James Bond or something.
But all of this is too interesting for a [Han] Solo A Star Wars Story made by Disney. And these ideas aren't even that out there for this movie. But it's something a place to start at least. It's gonna be a stupid origin story with a stupid arc.