B.Sc Psychology

No, it does not offer B.Sc psychology specifically.

B.Sc. Psychology entrance exams syllabus is totally based on what a student learned in 11 and 12 NCERT or Karnataka PUC text book. And the English part is based on the common GK in English, that is like grammar.

Please refer to the link provided below for details regarding B.Sc in Psychology from PSG College of Arts and Science. You should be able to download college brochure which contains details regarding admission details and course eligibility. Alternatively, visit college web site for details regarding admissions for this course. Regards.
https://www.shiksha.com/science/course/b-sc-in-psychology-psg-college-of-arts-and-science-psgcas-coimbatore-75294
(Website:- http://psgcas.ac.in/)
Regards.

I think there are no courses related to Psychology in SVVV. If you want to take admission for forensic science. Yes, you can take admission in SVVV easily.

Check out the list in the below link:
https://www.shiksha.com/humanities-social-sciences/psychology/colleges/b-a-colleges-Delhi-ncr

List of government colleges:
Sushilabati Government Women College
Government Autonomous College, Rourkela
Government Degree College, Sambalpur University, Orissa
Government National College, Haryana
Government J. Yaganandam Chhattisgarh College, Raipur
Government College for Women, Kerala
Government Nursing College, Bangalore
Women Christian College, Chennai
Presidency College, Chennai
Government Arts College, Coimbatore.