Question

can a body have zero speed and non zero velocity

Answer 1

Yes this is possible.we will explain it by the following example:
Suppose a body is moving in a circular path of radius 'r' and completes a revolution in time 't 'then, 
Total distance travelled=circumference= 
2πr 
and displacement=ánal position-initial position=0 
So,
velocity=displacement / time=0 
and,speed=distance/time=
2πr /t

Answer 2

no it not possible because velocity = displacement / time 
and displacement is shortest path for distance .
if speed = 0 then distance also =0 

and then velocity also =0