I wrote non corrugated because here, the boxes made of that wouldn't be strong enough, they tend to bend quite easily. If you have some that are nice and firm, I suppose that would be OK - you might have to adjust sizes a little if it is really thick, but possibly not.
I suppose also, I said that because I have never attempted to make one of these boxes with corrugated, I would hate to advise it and then you found it wasn't very strong or something and thought all sorts of uncharitible thoughts towards me because I had said it was OK.