Sure. A girl has a condition such as endometriosis that might be managed with birth control pills (nb: not a doctor). A progressive is like, “Okay, hon, let’s get you prescribed with birth control pills, but we’ve talked about sex, and this doesn’t mean it’s a good idea for you to have sex, right?” A conservative is like, “NO DAUGHTER OF MINE WILL TAKE BIRTH CONTROL PILLS AT 13, MY DAUGHTER ISN’T A HUSSY.”
I was going to list multiple scenarios, but I’m having trouble thinking of any other scenario where it’s more than vanishingly unlikely that a progressive is going to buy their child birth control.
I notice also that you’ve completely ignored the difference in approaches to birth control that I outline above, in favor of a scare tactic. This isn’t a great approach to discussion.