I could see that working on a metaphysical aspect, actually. A piece of multidimensional driftwood, part of another world that's become unstuck and floats freely through whatever makes up the multiverse, brushes up against the inhabitant of another world and becomes stuck on, not only giving them powers from the world but helping to unstick them from their own place. As they travel more worlds, more driftwood accumulates. A handy explanation for both the accumulation of power and the ability to jump.