Yes you can pursue both the courses together. You can Choose BBA in Finance as regular course and do graphic designing or a multimedia course as a Bsc course from institutions like Arena Multimedia, Maac etc.
BSc course a 3 year course in animation and multimedia is not literally a regular course as you will be required to go thrice in a week and that too for an hour or 2 hour class. It can very institute to institute.
So you can do both the courses as per your choice and interest.

Good Luck.