Philly's games (thus far) do leave it to the player to make major screw-ups. His MCs can certainly make mistakes, but generally if other characters are giving them shit for a major blunder it's either part of their backstory or something the player caused to happen. I don't think it will work well to try to pin the blame on the MC for something the player had no control over. If you think people disliked having the Maya and Josy drama forced on them in Episode 4, I shudder to think what would happen if we got M/J/S/J/I drama in Episode 6.
But beyond that, I don't believe there is any credible way to make such a thing happen. What could the MC do that could so thoroughly antagonize every major LI whiles simultaneously being consistent with his established character? Even if it's a frame job, why would all of them believe it? The MC just doesn't seem capable of intentionally doing anything truly heinous, but anything less should still leave the chance for him to talk it over with one or more of the girls.
Better to keep the stakes manageable. If a crisis comes up, let it affect the people involved in it, and let the other LIs react based on the nature of their relationship with the MC. If they like and trust (or even love) him, they can stand by him and help him through it, the way Jill/Sage/Bella did in Episode 4. No need to swing for the fences here.