There was a three or four month window, right when the vaccines were first released, when a 95+% implementation of the initial vaccine shot could have produced a reasonably close facsimile of herd immunity, such that it would have made it several orders more difficult for the virus to effectively mutate. It could have conceivably cut the subsequent death toll in half, if not more.
Unfortunately, politics and antivaxx disinformation got in the way of that. And people continued to die in droves due to selfishness and lies.