(N/A) Yes,it is possible when the force acting on the body is perpendicular to the direction of its motion.
Work done $(W)$ is defined as $W = Fs \cos \theta$,where $\theta$ is the angle between the force $(F)$ and the displacement $(s)$.
If $\theta = 90^{\circ}$,then $\cos 90^{\circ} = 0$,resulting in $W = 0$.
An example of this is the moon revolving around the earth in a circular orbit. The earth exerts a gravitational centripetal force on the moon,which acts towards the center of the orbit,while the moon's velocity is tangential to the orbit. Since the force is always perpendicular to the displacement,the work done by the earth on the moon is zero,even though the moon is in accelerated motion due to the change in the direction of its velocity.