Yes you can get admission in post graduate engineering courses through distance education mode after selecting in civil service examination of UPSC .

There are a many good institutes situated in India that offer correspondence or distance post graduation course in engineering.

PG engineering colleges :

Amity school of distance learning

ICFAI university

IGNOU

Jamia hamhard university

IIT
Rohilkhand university

Pondicherry university

Rajiv Gandhi technical university

Sikkim Manipal university

Amity University

Maharshi Dayanand University

Guru Jambheshwar University