You may have a slip and fall case if you fell on another party’s property. It might be a business but could also be private. Both types of owners are required to keep their properties reasonably safe.
If the business or landlord failed to fix or warn you of a dangerous condition that provoked you to slip, they may be accountable for your injuries under Florida laws. The best way to determine if you have a slip and fall case is by consulting a St. Petersburg slip and fall lawyer.