Hi dear...Of cource you can join Bank and pursue your Graduation meanwhile but you have to choose distance mode for your studies because bank job is a full time job and simultaneously regular mode job and regular mode studies will be a Herculean task. Correspondence will be a good option for you if you want to continue both.

You can pursue your Graduation from Indra Gandhi National Open University (IGNOU)This university offers B.A , B.Sc and various other study programs In all over India. Some other renowned Open Universities are as ahead- 

Dr.B.R Ambedkar University -Hyderabad

Nalanda Open University-Patna

Kurukshetra University - Kurukshetra

Vardhaman Mahaveer Open University- kota

Rajarshi Tandon Open University- Allahabad

Dr. Beedsahab Ambedkar Open University - Ahmedabad.

So you can see there so many choices for you. You can choose your college according to your preference.There are number of state universities in India which offers U .G program's through correspondence.

Go ahead

All the best