Vaccinate More Americans Act of 2021 This bill allows health care providers to disregard federal, state, or local laws or guidelines that prioritize COVID-19 (i.e., coronavirus disease 2019) vaccinations for essential workers and other at-risk groups when necessary to prevent the expiration of a vaccine dose. If a dose cannot be administered to a member of a prioritized group before it expires, a provider may vaccinate an individual in a lower priority group.