Probably not easily.
Average BBA degree has 30 elective hours. 8 BIOL, 8 CHEM, 8 OCHEM, 8 PHYSIC and you're already looking at 32 hours.
Then you take into effect that you will mostly likely need upper level classes, etc. At least BIOCHEM and PHYSIO. 10 extra hours give or take.
Look into interdisciplinary studies degrees. It will allow you to create-your-own-degree and you could spin a Bio-Business route.