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.
A player hits a baseball at some angle. The ball goes high up in space. The player runs and catches the ball before it hits the ground. Which of the two (the player or the ball) has greater displacement?