Yes,

Surely you can go for arts and pursue your graduation in Bachelor of Arts.

You can also go for the honours courses.

Usually the minimum eligibility percentage is 60% for many colleges and universities.

Many universities take entries on the basis of the entrance exam conducted by them.

With your science background you have a benifit for going with the subjects like Psychology, which have a great scope and definitely will broaden your perspective.

Go for it!

All the very best. :)