Have you wielded an ice sword in an RPG or watched an anime where one was summoned? The scientific problem is pretty straight forward. The solution; toilet paper.
It’s just possible that after this video from Sufficiently Advanced gamer groups around the world will be adding Pykrete to their vocabulary and list of ways to surprise GMs.
It seems that with a bit of wood fibre and the right mould those PCs stranded out in the snowy wastes might be able to conjure up a basic weapon. I speculate it wouldn’t be counter-productive as a makeshift, better than nothing, shield either.