I don't know - when I was a kid we used to have a dynamo next to the wheel and that meant that my pedalling powered my front and back lights. A quick search seems to show that this can easily produce 12v (that's the cheap standard ones, I bet more is possible) but for a LED style strip it might need much stabler power supply (dynamo output probably can be stabilised in some way by putting some kind of rechargeable battery or capacitor in the way)
Dynamo -> rectifier (to make somewhat smooth DC voltage) -> ~18v rechargeable battery pack (with some sort of protection from over-charging) -> 12v voltage regulator to keep it smooth until the battery drains.
... or something like that.
For a DIY approach, more info >Here
< though the 6v stated could be easily tweaked for different voltages.