You have no right to record a probation meeting. As cdwjava indicates, you may ask, and they may say "no".
Florida is a two-party consent state, meaning that you are supposed to have the consent of the other party (or parties) to a conversation before you record them. If you record a probation meeting without consent, you run the risk of being charged with a crime. A prosecutor or court might be receptive to the argument that the broadly recognized exception for recording encounters with law enforcement should also apply to probation officers, but before you roll the dice on that possible defense it would be sensible to discuss your plan with your criminal defense lawyer.

