Yes, it is possible. An accelerating motion means that velocity is changing. The velocity can change by the change in magnitude or direction or both. If the velocity changes by the change of directly only, then the speed remains constant. In such a case, accelerating body will have a constant speed.
[Read: Motion in a Straight Line]
For example, a body moving in a circular path [Circular Motion] has a constant speed but its direction changes at every point. Since there is change in the direction of the velocity, the body moves with centripetal acceleration.
SIMILAR QUESTIONS
Can an object have an eastward velocity while experiencing a westward acceleration?