Dear Student,
For Pursuing B.A hons it is not mandatory for you to be PCB student. Being from non medical background in 12th will definitely be of no problem unless and until you aim at courses like B.A. Hons. In Bio, Physics or Chemistry as you are not eligible for them but being surpassed the minimum eligibility criteria of having minimum of 50% in class 12th you are eligible for the courses like B.A. English Hons. Or B.A.Economics Hons., etc.
Hope this might help you.