No, everyone 5 and over should be vaccinated. All vaccines available in the United States are highly effective, substantially reduce the risk of COVID-19, especially severe/critical disease, and have been associated with substantial reductions in COVID-19-associated hospitalizations and deaths, even in the context of variants that partially evade vaccine-induced immune responses. In addition to direct reductions in COVID-19-associated morbidity and mortality, vaccination has been associated with lower non-COVID-19 mortality rates, supporting evidence that COVID-19 vaccination does not increase the risk of death.
The only true contraindication is anaphylaxis to the previous mRNA shot