Yes, it is possible to experience centripetal acceleration but not tangential acceleration. Centripetal acceleration is the acceleration of an object towards the center of a circular path, while tangential acceleration is the acceleration of an object along the path.

An object moving in a circular path at constant speed has centripetal acceleration, but no tangential acceleration. This is because the object's speed is not changing, so its acceleration is purely centripetal.

Here are some examples of how this can occur:

A car going around a curve at a constant speed.

A person swinging a ball on a string at a constant speed.

A planet orbiting the sun at a constant speed.

In each of these examples, the object is moving in a circular path at a constant speed, so it has centripetal acceleration but no tangential acceleration.