Yes, there are numerous shuttle companies that operate between Ft. Lauderdale and Miami. If you do an internet search, you will see several.
Mary Lou Scanlon
NCL Pride of America April 24, 2010
NCL Epic February 12, 2011
RCCL Allure of the Seas - September 18, 2011
Celebrity Eclipse - February 11, 2012:
RCCL Navigator OTS - February 9, 2013