Upvote:3
If this is single ticket on Jet Blue, the answer is yes.
You have a very good chance of making the connection as is and even if there is a major delay and/or you get snagged in immigration, baggage, customs and/or security, Jet Blue will simply put you on the next flight. You are arriving at 6:50am, and there plenty of non-stop JetBlue flights from FLL to JFK on the same day.
If this NOT a single ticket, then the answer is a big fat NO.