Can you drive your car in such a way that your tangential acceleration is zero while at the same time your centripetal acceleration is nonzero? Give example or state why not.
No, not possible.
For Circular Motion, Centripetal Force
We also know that centripetal force and centrifugal force, action-reaction force pair are associated with circular motion.
What the problem is posed that one is zero and other non-zero this is not physically possible as action and reaction are equal and opposite.