Unfortunately that's simply wrong. There's no scientific basis for claiming that the virus can be pushed out of whole regions. It's impossible. Or at least no one has proposed a plausible plan.
It is not possible to eradicate SARS-CoV-2. We eradicated smallpox and (almost) polio because we had highly sterilizing vaccines and no animal hosts. That situation doesn't obtain with SARS-CoV-2.
Vaccines are highly effective at preventing deaths and I do encourage vaccination, but vaccinated people can still catch and spread the virus. They are probably less contagious on average, but unfortunately that isn't enough to control community spread.
there is a too many unknowns for anyone to be able to say its not possible to eradicate covid. whats known for sure is that ~40% vaccination rates would have not been able to eradicate either smallpox or polio...