Generally speaking, yes you can. Your question, in legal parlance, is called "venue." Venue requirements are set forth in §47 et. seq., Florida Statutes. While the Statute, or the lease typically control where venue is established (most real estate leases specify something similar to: "any dispute arising out of or related to this Lease shall be solely in the county of ABC, State"), there are other factors that can change venue. For instance, without a venue provision, such as the one mentioned above, you may still be able to bring an action in a location that is not the situs (place of) of the rental property, if the rent was to be paid in another county. Where the rent was to be paid could generally establish venue.
In order to provide a better answer, however, more information is needed (e.g. what are you suing for, where is the landlord versus where the rental property is located).
The response posted above is provided for informational purposes only. Responses such as this, based on limited facts, are no substitute for actual legal advice and counsel by a qualified lawyer that has reviewed the entirety of your case. Additionally, no attorney client relationship was created, and no part of this response constitutes legal advice or counsel.