While searching in web regarding whether rate of change of acceleration is possible or not; i came across the concept of jerk.I want to know whether light which can be accelerated can also have jerk or not?
Strictly speaking light can't be accelerated. Viewed from a local frame it always travels at a speed of $c$ and in a straight line. Since the acceleration is always zero the jerk is also always zero.
Light can be bent by gravitational fields, i.e. in curved space-time, and therefore it is accelerated in the sense that it's velocity changes direction so I suppose the jerk is non-zero. However the bending of light we see is just the result of the curvature of spacetime. Viewed locally the light travels in a straight line at constant velocity, so it's not clear to me that jerk is an especially useful concept in calculating the trajectory of a light beam.