Yes, it is possible to accelerate an object without speeding it up or slowing it down. This happens in cases of uniform circular motion. In this type of motion, an object moves in a circular path, and while its speed remains constant, its direction of motion changes continuously. The change in direction requires a centripetal acceleration directed towards the center of the circular path. Even though the speed does not increase or decrease, the object is still undergoing acceleration due to the continuous change in direction of its velocity, which is a crucial aspect of circular motion.