School Doctors are doing it. Under most state laws, I believe while kids are in school, the Docs have medical control over the kids. I believe that is true.
I no longer have kids in school so I am not totally up on the rules/laws.
You must live in a rich state. We don't have school doctors, just school nurses.
Our school nurses aren't allowed to prescribe drugs. They can't even give a kid tylenol if he has a headache or she has cramps. In fact, they can't even give out cough drops.
As I say, your state may be different.