Yes you can. Times have changed and there are good number of students who choose banking after engineering studies.

A candidate should have completed a Graduation Degree from any of the stream from a recognised university.
It has been one of the top most preferred career option by many students these days. Banking sector has been flourishing in Urban and Rural area as well as at the International Level too.
The Banking Sectors work is not restricted to providing customers a Bank Account Facility it has gone beyond like providing more services to the clients. There has been a great career opportunities in both the Private as well as Public Banking Sector.
Clear the entrance exam and go ahead in this field.

Good luck.

Yes, this will be a good option but generally students dont choose this field after completing their engineering. So if you have keen interest in this, then you should go for it.

Good Luck!!!