Velocity is a measure of the speed and direction of an object's motion. It is a vector quantity, meaning that it has both magnitude (a numerical value) and direction. For example, if an object is moving at a speed of 10 meters per second to the east, its velocity would be 10 meters per second to the east.
Acceleration, on the other hand, is a measure of how quickly an object's velocity changes. It is also a vector quantity and is defined as the rate of change of velocity per unit time. For example, if an object is moving at a constant speed of 10 meters per second to the east, it is not accelerating. However, if the object's speed increases to 20 meters per second over the course of 1 second, it is experiencing an acceleration of 10 meters per second per second to the east.
In short yes, you must be infinite speed.