No, you have four years from completion of prerequisite course to complete the exam (you can find this information on the myfloridainfo.com website  http://www.myfloridacfo.com/Division/Agents/Licensure/General/docs/2-20.htm - Have completed or taught a 200 hour course in property and casualty insurance, approved by the department, within four (4) years of application date.). But, I would strongly recommend you take your exam while you still have access to the prerequisite course, that way you can use the unit quizzes as a study guide.