Yes. That's what Batman does - at least those are the kind of skills and skill level Batman has. It shouldn't look exactly like that of course, that's just jampung around and doing stuff for the hell of it - but at that level.
Same for Daredevil/Catwoman/Robin/Nightwing etc. All the acrobatic but non-powered heroes.
I saw a doccumentary about these free-runners... when you start to get really really good at it you're on a whole new level of awareness and improvisation. They say it's almost like a form of meditation, you just do it, without thinking. These guys are physically about as strong as you can get and still be extremely mobile/agile/acrobatic. They can jump further from a standing jump, jump from a height to the ground and land safely with a little roll from higher than you'd think possible.
They're really the type of peak-humans that Batman is supposed to be - or at least as close as it is really possible. Add in Bruce Lee/Jackie Chan/Tony Jaa level martial arts and acrobatic capabilities and make it all look like the roof-running sene in The Crow (I wish someone'd put that on Youtube... doesn't seem to be there). THAT is ****ing Batman.
And it's all possible, for real, in the real world, more or less. No cgi and breaking of physics. You just have to build sets and use locations that allow for long runs of such displays of ability... without looking contrived - the city shouldn't look like it was obviously built for Batman to run across, but it should be. Frankly I'd find such roof-running and the odd bit of rope/grapple swinging to be about 100 times as visually interesting and believeable than magic cape-gliding.
You watch - a few months from now when Casino Royale comes out EVERYONE will be saying "hey, did you see the opening scene, Batman should be like THAT!".
When Ra's says that Batman spends his nights running across Gotham's rooftops, for God's sake, I wanted to SEE it.
People who want to see more should search for Parkour in youtube. Search for "Ong Bak", "Tom Yum Goong" AKA "The Protector", and Tony Jaa too. ESPECIALLY if your name's Christopher Nolan.