Dear Student,
Yes you can opt for psychology after 12th non medical. For that you can go for B. A. Psychology . Following are the top colleges in India for studying psychology :-

• Lady Shri Ram College for Women, Delhi
• Indian Institute of Psychology and Research, Bangalore
• Fergusson College, Pune
• Lovely Professional University
• Presidency College, Chennai
• Jesus & Mary College, Delhi
• Sophia College for Women, Mumbai
• Bheem Rao Ambedkar College, Delhi
• Mount Carmel College, Bangalore
• Loreto College, Kolkata
• Madras School of Social Work, Madras
• Christ University, Bangalore

Hope this might help you in finding the most suitable college.