As seen in this video: the principle of the helicopter does work in space. So we could make a helicopter based space shuttle! It would be easier to navigate with it than with propulsors.
the video show that the principle of helicopter works in a zero-g (no gravity) environnement, not that the principle works in space.
The helicopter is able to lift on earth (and int the space shuttle) because of the viscosity of the air. Whitout any friction, there is no move. In space, there is really few particles. So the friction would be very low and you cannot use system such as helicopter.
An helicopter in space would be like trying to use à boat turbine in air