Of course! These are like BGA or something similar, the solder will crack after some number of on/off/cool/heat cycles.

If voltage is raised we enter the realm of electromigration, though not sure how relevant it is for such a minuscule OC.

As for stability, yes. If the voltage is not sufficient there will be stability issues which will require further raising it, thus raising temps and requiring more power which you can't be sure if you could deliver. And then of course electromigration.