Can a person jump on a frictionless floor?

Yes, a person can jump on a frictionless floor, but the mechanics are different from jumping on a normal surface. On a frictionless floor, the person would not be able to push off effectively, as there would be no friction to provide the necessary force against the ground. Instead, any attempt to jump would result in them sliding rather than gaining vertical height. Thus, a jump would not be successful in the traditional sense.