Clothing isn't gendered in this game. In order to add crossdressing, that would need to change for all clothes. Given they weren't gendered for a reason, that isn't likely
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You could look at it a different way, and say that because clothing isn't gendered in this game, (co-)crossdressing is technically possible (though the co- part of it might be heavily dependent on RNG), and nobody will even judge you for it. Perhaps a better question might have been something about managing the wardrobe of a partner.