Hey

Yes, you are eligible , not only art student any graduate student can go for the IBPS PO EXAM . Many of the arts student also select in bank p.o. exam every year

you can apply for bank job after completed your graduation, there no any rule.
,from any stream you can passed your graduation can apply for bank job.information are given below.

Eligiblity for bank po exam:

Nationality: Candidate should be a citizen of india.

Qualification: Candidate should complete graduation or p.g from recognised university with 55% (reserved) to 60% (general) marks.

From the above information we came to know that we can do any graduation in any stream from recognised university.
So, decision is yours. You should complete graduation with 60% marks from recognised university.