In Florida can you be charged a storage fee for your personal property after a repo?

Yes, and very often you will be. Storage fees are the right of the repo agency. They are keeping your property for you, and it is taking up space on their property. Not to mention creating the situation where they have to protect your property from theft or damage. If you want you property back, you will have to pay the fee. There is no choice. It is possible you could wait thirty days for them to determin it is unclaimed, and perhaps they will throw it out. You could pick it out of their trash then. If there is anything valuable though, I doubt it will make it to the trash. Likely as not it will be sold to cover the cost of your negligence.