Yes. The mRNA vaccines are especially safe: among the tens of thousands of people enrolled in the Phase III mRNA-Vaccine Clinical Trials, none have experienced severe adverse reactions. This is unheard of for vaccine clinical trials.
Vaccines are traditionally developed from one of several methods: (1) “live-attenuated” virus, made from virus that has been altered to decrease its virulence (harmful, infectious potential); (2) killed virus; (3) purified portions of virus, such as surface proteins. The mRNA vaccine contains none of those components, only the “message” used for our cells to produce a single protein to stimulate our immune system. These mRNA vaccines are the safest in vaccine history to date.
Learn more about how COVID-19 mRNA vaccines work.