It absolutely is. That you believe it isn't shows how badly you are lied to. Even for a school which may require certain vaccines, prior to covid, you still needed to authorize your doctor to release those records to the school.
It's sad to me how many people don't even know their rights or are willing to give them up just because they were given the impression doing so would allow them to "dunk" on whomever they've been told to hate. America is heading into "Idiocracy" territory now, but that's for B&I so I digress...