No, if it’s good for refills then that process isn’t even necessary until those refills run out; the pharmacy keeps track of them automatically. What GP is describing is a refill authorization request, which happens when no refills are left. It does require the doctor’s approval, but usually does not require a visit as a matter of course, unless there’s a concern the dosage may need adjusting based on, say, new lab tests.
The above mentioned case of doctors who require a pap smear for birth control is unrelated; it’s a barrier to access to contraceptives, which is motivated not by medical concerns or even greed, but by politics.