Does PSLV have a cryogenic engine?

PSLV does not use a Cryogenic engine. Cryogenic engine is used in GSLV for launching heavier satellites in higher orbits. You can read about the GSLV Mk III – A Comprehensive Overview of Heavy Lift Launch Vehicle in the given link.

Further readings:

1. Indian Space Research Organisation [ISRO Notes for UPSC]
2. Mars Orbiter Mission (MOM) – A Complete Overview of Mangalyaan Mission