Are you running Mac? If so, there's a known compatibility issue between Unity's input system and Mac (on some OS versions). It's possible that installing the game through the itch app (read Mac install instructions on this page) could fix it, but I'm not super sure. : (
That's actually the first I've heard of that happening on a non-Mac, interesting. If you have a laptop, could you comment below the make/model/year (if you know it) of your laptop? I'm not entirely sure what's causing the issue since it's a deeper issue within Unity, so I'm not sure how helpful I can be : (