Way I'd see it, it 'might' be fudgeable at a push, under a big solid "maybe?" But a quick calculator mess made me think of how a "hex" Tile game would in fact, feature 60 degree turns, even if it allowed for a 180 degree 'back switch'.
The second thing to be mindful on, is even if you 'could' do it. Should you do it, is another matter. When one has to think of the KISS Principle when it comes to any game design. Especially towards Game Jams.
Still, if it's under a "first person, 2D" Perspective, it might lead to a unique visual take on being able to see in 'five' directions, up-to wise. But that's just a hazard guess, without doing a 'dummy' rig to see how walls would look like on a 2D Plane at a glance, if placed on a 'hexagonal' format, instead of the iconic square format which is part of this game jam, I'd presume.