I don't think repotting a jade plant will kill it. You could rip it out of the pot and leave it lying someplace and it would root where ever you left it. Overwatering will and if its over-potted, the chances are great for overwatering. They don't need a lot of root space - a pot big enough to hold the plant up is big enough.
If you see bugs again, I would take it out of the pot, get rid of all the soil (wash the roots off) and repot in new soil.
Daisy