No-- it is not a law.
It is common practice, however. Sometimes the doctors will cite "hospital policy" and sometimes they're willing to say its their own policy. The point is to illustrate the way women are still often viewed as little more than property-- needing "permission" to make permanent changes.
Hell-- we have only been guaranteed the right to bank accounts and credit cards for less than 50 years now.
I do not have faith in the powers that be-- because time and time again they (as a collective) have shown their disdain for my abilities to govern myself. I mean-- hell-- look at the board we're on. How many new laws have been created to try to make it harder for me to conduct business? Fuck bodily autonomy with abortion, as that can easily be argued as there is a second body involved-- why is it that I cannot have the autonomy to fuck someone and get paid for it if that is my choice??