Not any more, and it is doubtful there ever was
Old Law Shielding a Woman's Virtue Faces an Updating
By SARAH KERSHAWJAN. 26, 2005
SEATTLE, Jan. 25 - It is about time, politicians here are saying, for the state of Washington to catch up with the rest of the world.
Florida has struck down a law forbidding unmarried women from parachuting on Sundays. Michigan has done away with a law making it illegal to swear in front of women and children. Texas women no longer face 12 months in prison for adjusting their stockings in public. And the ladies of Maine can now legally tickle a man under the chin with a feather duster.
Also I found this blog: http://floridalaw.blogspot.com/
On it, it says...
SUNSHINE LAW IS A BIT CLOUDY
OK, so enough with the weird and ridiculous Florida laws for now. (But, FYI, nowhere in the Florida Statutes could I find the single woman/parachuting on Sunday law.)
So this piece of Internet trivia may be a myth... an urban legend.