Can I sue the truck driver's trucking company for my injuries?

The answer to this question really depends on the relationship between the truck driver and the trucking company. If the truck driver was an employee, then certainly yes, you have a claim against the trucking company. Moreover, if the trucking company owned the truck, then under Florida law, then you likely have a claim against them as the owner of the vehicle, as well. But because this can be complex, we do recommend that you contact an experienced attorney to help walk you through the process.