Yes, but they won’t. Instead, doctors are still injecting people. My doctor tried hard to get me to get the covid vaccine about a year after covid was in the USA. She did pressure me in the past to get the flu vax, and I did.
She suggested repeatedly that I get the covid vaccine, and I told her several reasons that I didn’t want or need it. I was just there to get my yearly physical. I was not there to get vaccines. But she kept pushing it and telling me why I needed to get it. I never went back after that appointment.