Can I do BA & BSC in psychology together??
Nope! There are no such BA-BSc Psychology course. If you want to go for psychology then you can choose any of the course said below. In some colleges, for the MSc in Clinical Psychology they ask for BSc but in most colleges, BA and BSc can apply for the MA or MSc Psychology and this way the BA Psychology graduates don't get any disadvantage. So don't worry about the BA or BSc just focus on the subject matter.
For more information regarding Psychology consider the link below:
https://www.careers360.com/courses/psychology-course
I hope this helps. Wish you a great day!