Helicopters don't fly either.
They beat the air into submission. 
Exactly right Mr. Bogan as does the buggy things. If humans had a bit more arm flab and could flap our limbs as 230 times/second I'd bet we might could launch too but probably more like a chicken...

I'm imagining Celebrity Fat Camp and the Bob Evans Chicken Flying contest! (since been forced to cancel by PETA)