Yes, there is. And, you may be surprised at the varieties.
This site gives you an overview:
Florida Wineries It looks like you'll have at least two to choose from, The Florida Orange Groves & The Rosa Fiorelli.
And, this is to a winery in the St. Augustine area that is very good!
http://www.sansebastianwinery.com Note that the "Castillo Red" is named after a famous fort in St. Augustine.
Enjoy your trip!
Nancy Welker
BellaOnline Yoga Editor