No, you could be offered a conditional admission without an RN license, contingent upon obtaining your RN license for the MSN and BSN to DNP programs. The terms of the conditional admission will vary depending on when you earned your prior nursing degree. A Florida RN license is required prior to the start of any clinical course for all programs.
If you have already graduated with your BSN, or will graduate at least 2 terms before matriculation (e.g., a student who will graduate in Spring 2016 and enter the DNP program in Fall 2016), then you will be required to obtain your Florida RN license prior to matriculation. If you will graduate the term prior to matriculation (e.g., graduate in Summer 2016 and matriculate in Fall 2016), then you will need to wait for the following admission cycle as the CRNA, MSN and DNP programs require a current license as a registered nurse.