Possibly, but the technical hurdles are large:
The atmosphere is not necessarily going to rotate with the torus. In particular, it will face drag from whatever's falling through it. To make the air rotate, you could put fins around the inside of the torus (but you would have to make sure that the fins don't hit your suspended body). As a rough estimate, you would need the interior torus to have at least as much surface area pushing the air around the torus as the body you wanted to suspend on the air.
The position of the suspended object would also be unstable. If a person-above-fan starts to drift in one direction or another, they can drift back toward center by changing their shape and angle of attack. In the rotating torus, gravity is not directly opposed to the lift from the air. Above the midline, objects will drift toward the torus's center. Below the midline, they will drift away from it. In either case, you will likely have things rapidly hitting the wall.