"A less massive object can never have more momentum than a more massive object."
That statement is FALSE, because momentum doesn't only depend on mass alone. It also depends on the speed with which the mass is moving. If the less massive object is moving at a tremendous speed, then it's quite possible for it to have more momentum than a more massive object.
A nice example is: A brick wall. The brick wall is not moving at all. Its speed is zero, so it has NO momentum. An ant crawling along on top of the brick wall has more momentum than the brick wall itself has.