helos spin their blades at RPMs in the hundreds. any turntable moving that fast would throw the craft off because you'd never be able to find the exact center of gravity to keep it on the machine
that being said if you could designed a perfectly spherical helicopter with an identifiable center of mass and a turntable that could spin at 400rpm then no, it wouldn't take off because the rotors are spinning in relation to the body of the aircraft. if the body is moving in the opposite direction the rotors will remain still relative to the atmosphere