Throughout the series, the stunt doubles used to stand in for the actors are often very obviously not the actor in question. This is consistent with other action/adventure TV shows from the same era and ilk.
In order to have become a Green Beret BA Baracus would have to have undergone Airborne Training and completed a number of parachute jumps. Yet according to his mother he was afraid of flying even from an early age. However, given BA's tenacity and toughness, that doesn't discount the possibility that he did many parachute jumps simply because he wanted to face that fear and overcome it. In addition, given that Murdock's flying is blamed as well for BA's fear of flying, it's likely that his phobia was exacerbated dealing with his experiences with Murdock's piloting on duty.