From what I read on bahamastravel dot com, yes:
"Effective 27 December 2021, fully vaccinated persons travelling to The Bahamas from other countries will be required to obtain a negative COVID-19 test (either a Rapid Antigen Test or RT-PCR Test —including PCR, NAA, NAAT, TMA, or RNA), taken no more than three days (72 hours) prior to the date of arrival to The Bahamas."