Hi! That sounds completely fine. Clicking isn’t totally banned in the jam; the goal is just to minimize the use. If you wanted you can submit a pinball game, it just might not get the best accessible score.
Clicking to start the game, refresh the screen, or open a few links (like credits or sources) are totally reasonable and wouldn't decrease your score at all for accessibility.
I think you’ve got the right idea. Just keep the "hands-off" spirit in mind and you’re good to go!