As that link mentioned, even at absolute zero there is zero-point energy (E=mc^2 -- if something has mass, it has energy). If something has potential energy, it has the ability to do work and therefore the ability to move.
As for time.. This is off the subject a bit, but I found it pretty interesting. My physics teacher was giving a lecture about entropy and went on some tangent. If time flows towards the direction of entropy increase, then once the state of the universe is finally one of complete disorder, everything stops. Energy can no longer be transfered to anything else. You must do work to do ANYTHING -- including die, vaporize, whatever, it all takes work -- so everything stops. But then, the gravitational pull of everything on one another will create a singularity -- the opposite of the Big Bang. All the energy will collect back into where it was at the very beginning of time.
Logically, if time flows forward in the direction of entropy increase (the 2nd Law, or on a more fundamental basis the 0th Law, I guess), then if entropy decreases (the energy is gathering back as a singularity), time must be flowing backwards. Therefore, everything that has ever happened in the universe, including me typing out this reply, will happen again -- only backwards. Interesting, no?
But on a philisophical note -- if a system is in a state of disorder to the point that every particle in the system is equally in disorder, is that order? In which case, will time continue to flow forward (since entropy naturally increases)? How could the universe as a system become more disordered if every part of the system is already in equal disorder? Is the system, at that point, in a simultaneous state of order and disorder? Does time move sideways at that point? (I was making a funny, haha.)
0.o