Answer
No
Work Step by Step
No, it is not possible. Let's take two scenarios into consideration. If the car is moving in a circular path then the centripetal acceleration is always non-zero. On the other hand, if the car is moving in a straight path then centripetal acceleration does not arise and hence we conclude that we can not drive the car in a way where the tangential acceleration is non-zero while centripetal acceleration is zero.
