Yes. Any two simultaneous double-stranded breaks have the potential to be stitched together during repair, although translocation events are going to be much much less frequent than the correct recombination (and observed even less frequently than that due to spontaneous death or targeted removal of cells where this occurs). But it is not impossible for the cell to survive and even propagate after such an event.

Here’s a paper discussing the topic: https://www.pnas.org/doi/10.1073/pnas.1410112111

I’ll add that the goal is not to reduce or eradicate these mosquito populations forever. The pathogens they carry have been transmitting through them so consistently for so long that they’ve evolved to require existing in the mosquitos at least temporarily as part of their life cycle. That requirement is a point of weakness. If transmission can be greatly reduced, or even completely broken, even for just 1 or 2 generations of mosquitos without completely eradicating the mosquitos, then they can be allowed to recover but the pathogen may be greatly reduced for much longer or even eliminated from the chain entirely.