I'm not sure I know what you mean by make the screen move, but I obviously have a few guesses. ideally you'd want to convey that the player is sprinting purely through the 1-bit output (for example, through flashing or blinking to give the impression of footsteps) but this might not be a good solution for you, depending on what else the game is doing. if you really want to give the player feedback to their input and there's no way to reasonably integrate it, then you certainly can, but it is bending the rules quite a bit (which is perfectly fine).
Viewing post in Regarding allowed forms of output feedback
I see. Yes, unfortunately my 1-bit output is always in use, so I can't go with that approach. And my intended meaning of the screen moving is the same way to screen would move or shake during sprinting, like in any other game. I suppose I'll just shake it during sprinting, then (well, assuming I even get that far in development, haha. Thanks for the reply!