If you are relocating to Florida can you collect unemployment?

Yes, you can if you are already collecting unemployment. It's called an interstate claim. If you are relocating for personal, non-work related problems then it would be up to the "liable state" you are moving from as to being eligible. Following your spouse is sometimes an allowable, as is domestic abuse, health, etc. If you are going to Florida in order to file for unemployment against the state of Florida, with no work history, then no, you cannot collect unemployment in Florida.