Look, Ma!
If you ever think you can't do something... just watch this...
...This young woman, Jessica Cox was born without arms and learned to fly.
The plane she is flying is called an Ercoupe (pronounced air-coupe) which does have rudder pedals. The Ercoupe was made in the late 40's and early 50's. The unique thing about Ercoupe is it's one of the few airplanes to be made and certified with out pedals. With out rudder pedals Jessica is free to use her feet as hands.
There have been other handicapped pilots who convert and modify controls of other planes but Jessica's plane is stock. I belive she is the only one to fly with no arms in a stock or modified plane of any kind.