See there are no such rules that the parents need to be a graduate to make there child eligible for graduation. If you get a chance in any college for BBA then you will get admission on your own merit and if you perform well in the course and if you pass all the examination then you will get the degree. There are no links there between your fathers dropout and your graduation.

To know more about BBA visit the link provided below:

https://www.careers360.com/courses/bba-bachelor-of-business-administration

I hope this answer helps. All the very best for your future endeavors!