According to me there are following institutes or colleges that offer Astro Physics degree through distance learning mode in India:

IGNOU Regional Centre
Mohan Cooperative Industrial Estate, New Delhi, Delhi 110044 ‎

Madurai Kamaraj University
Alagar Kovil Main Rd, Madurai, Tamil Nadu ‎

Astronomy Institutes in India
Indian Institute of Astrophysics
100 Feet Rd, Koramangala 2B Block, Madivala, Bangalore, Karnataka 560034 ‎

Centre for Research and Education in Science and Technology
State Highway 35, Karnataka ‎

National Centre for Radio Astrophysics
Pune University, University Campus, Post Baug No 3, Ganeshkhind, Pune, Maharashtra

SN Bose National Centre for Basic Sciences
JD Block, Salt Lake City, Kolkata, West Bengal ‎