Not true; she was born in 1960; same year The Pill was first introduced. There was great resistance in society to oral contraception not only because it was a systemic hormone with unknown effects on the general market; but also because many doctors and commentators responded to it the way many have responded to abortion: that it would contribute to immorality and endanger the institution of marriage. And it did.
Widespread Pill usage didn't start hitting the mainstream until the mid- to late 60s, when the first group of Baby Boomer women were graduating from college and Second Wave feminism and "Women's Lib" had started up.
It's marginally possible she might have obtained a prescription for The Pill then; but doctors still were hesitating to prescribe it for minor teenager girls, which she was when she got pregnant.
And The Pill wasn't without complications. The formula was adjusted continually after it hit the market because users were having glaucoma and other serious side effects.
The movie she was in with Patrick Swayze was in the mid 80s
By then most women I knew were taking some form of it
I just checked Dirty Dancing came out in 1987, she was born in 1960of it
She was in her teens by mid 70’s the pill was in wide use
She said she was young, she never said how old she was
She could have been in her 20’s