Yes. You can do it through what is known as an "aerobatic baptism." It's a flight with an aerobatic instructor geared toward "non-pilots" who want to experience the sensations of an aerobatic flight. During the flight, basic maneuvers are usually completed, like looping, rolls, stall turns, and spins. We highly-recommend this fascinating and unique experience. You're sure to never forget it!
It is so easy to find a specialized school or center and they can inform you of everything there.