"Have you ever wondered how a flying squirrel flies, it doesn't have wings, it's not a bird, so how can it fly? Well, the truth is, it doesn't fly, it glides, sort of like an eagle except it never has to flap any wings. There are blanket-like membranes of skin between its wrists and hindlegs that give it the ability to glide far distances. The flying squirrels have dense, and soft fur. It's brown on their backs and white underneath. They have long, flattened tails that are used to guide their glides. They have large eyes, or "bug eyes", I like to call them. Flying squirrels are nocturnal rodents, which means they feed at night on fruits, nuts, buds, and insects. They nest in hollow trees, deserted buildings, and birdhouses. These gregarious mammals seldom descend to the ground."
http://worldkids.net/critters/mammals/squirrel.htm
So you can see they don't actually fly. But nice try.
Um, sailplanes don't flap their wings, either, yet no one would dream of saying they don't fly.
Bats DO fly, though. No feathers :)