Question: was there a group called the five heartbeats

Answer: No, To promote the film prior to its release, Townsend, along with the other actors who portrayed the fictional musical quartet The Five Heartbeats (Leon Robinson, Michael Wright, Harry J. Lennix, and Tico Wells) performed in a concert with real-life Soul/R&B vocal group The Dells, one of many groups that inspired the film. The Dells sang and recorded the vocals as the actors lip synced.