It's not completely possible but if you could create a situation where mortality is so high or reproduction is impossible for them, you could keep populations very low even if some wander in.

They have genetically modified mosquitoes that cause sterility in the ones they mate with, which have been used successfully to greatly reduce the population of the species in question. So this is the best existing technology IMO but it probably will require a confluence of techniques.

But care should be taken that it doesn't harm non-target organisms and doesn't spread out of control.