The body of QQ is destned to die. Is the time of his inhabitant also up? I doubt it.
It is very strongly implied that the Pioneer plaque is a horcrux, in which case Voldemort will not die unless the plaque is destroyed (extremely unlikely) or his connection to it is severed by some means unseen in canon and unhinted at in HPMOR. If we assume that QQ = Voldemort, which is also fairly safe, then no, his time should not be up.
It is very strongly implied that the Pioneer plaque is a horcrux, in which case Voldemort will not die unless the plaque is destroyed (extremely unlikely) or his connection to it is severed by some means unseen in canon and unhinted at in HPMOR. If we assume that QQ = Voldemort, which is also fairly safe, then no, his time should not be up.