Answer
Yes, it is possible to have an object's acceleration perpendicular to its velocity.
Work Step by Step
Yes, it is possible for an object's acceleration to be perpendicular to its velocity.
This can be observed when an object is at its highest point in projectile motion. Velocity is along the horizontal; the vertical component being zero. Acceleration, at this point is due to gravity and acting in the vertical direction.
It is also true for a body in circular motion; where the acceleration is always perpendicular to velocity.