No. Florida does not recognize any sort of "legal separation." Your status is married. You can file for divorce and have a temporary agreement as to costs and such until the divorce is finalized.
This is not to be considered legal advice nor does an attorney-client relationship exist.
Since the two of you seem to be getting along, you may consider a Collaborative Divorce. I am sure there are plenty of attorneys in your area that focus on this. Good luck to you.
This information is a general answer and is not specific to any particular case. Carin Manders Constantine, Esq. 727-456-0032/ 727-488-8272 familylawyer411.com/about-carin
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