“Can I update my game when you finish the game jam” is a technical question of itch.io so if I know that, I would ask that in the general itch.io community. And to answer that… Your game project is your game project.
So. It really doesn’t make sense. What I really want to ask is about the jam. It is about how you want your jam to run.
It just seems you want your jam to just not run. It right sucks because I’d love to see someone actively promoting what this game jam is supposed to be doing.