well maybe so long as it falls under fair use?
yeah fair use is a good starting point. If your game looks like a parody (and it should, given that you're making bad games for this jam) then it definitely can't be mistaken with the original content. However, fair use is not the end to all creation means, and the definition is kind of blurry anyway. If a big company wants to DMCA you for using their content, they will and it's their right.