hey, yes there is distance course for Bachelor of Arts and the fees will vary depending on the institution you choose. It will be anywhere between 3 thousand rupees to 15 thousand rupees per year. You will have to choose the institution you want to join and inquire about the fees. Some of the colleges are

IGNOU - Indira Gandhi National Open University

Institute of Distance Education, University of Madras

NSOU - Netaji Subhas Open Univesity (WBNSOU)

AMU - Aligarh Muslim University

Mahatma Gandhi University - MGU

I hope this helped.

best wishes