From the structure of your question, we can tell that when you say "accelerating",
you mean "speeding up", although that's only one kind of acceleration.
Assuming that's what you mean, then the answer is: Of course!
Haven't you ever started to move away from a traffic light after it turned green, and
been overtaken and passed by a car that came up behind you, never slowed down,
and sailed right past you at a constant speed through the intersection as you were
picking up speed ?