Not with a gene drive, that's the whole idea behknd it AFAIK. A gene drive copies itself and the payload to 100% of the host's offspring. So, as long as a host

Not with a gene drive, that's the whole idea behknd it AFAIK. A gene drive copies itself and the payload to 100% of the host's offspring. So, as long as a host is able to reproduce (which granted has lots of implications) it will spread the payload. This accelerates the spreading of a gene tremendously, covering the whole population in just a few generations.