Quantum mechanics says that, theoretically, anything is possible. You know how we can't simultaneously measure the position and momentum of an electron? Well, that leaves open a lot of room for anything to happen. Theoretically. The statistics are such that quantum fluctuations only occur on the tiniest of scales. But aside from that, quantum theory is still a developing field, and there are some interesting developments, such as the quantum computer they just built (instead of 0s and 1s it uses bytes that are simultaneously 0 and 1). The funny thing is, due to the nature of quantum theory this computer can actually solve problems without ever being turned on -- the hypothetical idea that it could solve a problem is enough to extract the solution.

This is all rudimentary and maybe a little bit inaccurate?.. I kind of have no idea what's going on in my quantum mechanics chemistry class.