I must second Mattias, there should be a way for you to build and executable or export a zip file. Other devs have used unreal engine before for the game jam.
Typically if something appears to be a lot of extra work you are doing it wrong. -TigerJ This is because all humans are trying to make efficiencies in their nature. embrace the shortcuts.
I googled it for you. If you manage to get an exe or single file wetf it is post it and I will give it a play.
https://answers.unrealengine.com/questions/37357/how-do-i-create-a-exe-of-my-gam...