Yes, the government can restrict your liberty to protect pub

"There have been very few Supreme Court cases involving the government’s power to deal with the spread of communicable diseases. The most relevant decision for today was issued in Jacobson vs. Massachusetts in 1905. In that case, the Supreme Court upheld the constitutionality of a state law requiring compulsory vaccinations against smallpox. The court declared, 'Upon the principle of self-defense, of paramount necessity, a community has the right to protect itself against an epidemic of disease which threatens the safety of its members.'"

Op-Ed: Yes, the government can restrict your liberty to protect public health (Erwin Chemerinsky, Berkeley Law School Dean)