Yes, it is not necessary for a student to be of commerce background to pursue BBA. You only have to qualify your class 12th exams with atleast one language and any other entrance exams for BBA and you can get admission in any management college. Even if you had PCB in 12th, BBA is still an option and you should go for it regardless of your background. A lot of students change their streams after 12th and flourish in these streams.