It's definitely OK to question your partners decision. I would prefer a coordinated change from one job to the next, too, if it were my partner although I understand that sometimes everything hangs by a thread. But the rent has to be paid, and that should always be the first priority, especially in a relationship were we care for each other.
What is that thing about "moving on"? You are talking about leaving her? That's a completely different beast (although of course it is tied to financial security and jobs, too). If you're missing the emotional support or the sexual connection or whatever your take on relationships is: Communicate and try to find out which ways you both are seeing for your futures.
If those ways match and the relationship works for both: Fine, continue, work on it. If not then not.