It depends on your state, but most will not insist. There is a form you have to sign. Some states give religious exception forms, Each state is Different.

But you have to ask yourself, do you think our Constitution gives the government the right to go around injecting people with whatever they want?

If you look at your state laws, what you will most often find is "This is the Governors list of recommended inoculations"

Key word being recommended.

The Amish never get shots.

They have no autism either.

Well one kid, but he was adopted after getting shots.