My bun went through a horrible carpet chewing phase and actually ended up eating a great deal of it. She only had one tummy problem that required a dr visit but that was because I was feeding her too many carrots and it turned her urine red, which naturally scared the heck out of me!
IT IS NOT GOOD FOR HIM and IT CAN CAUSE A BLOCKAGE which is very very dangerous, however, if he is just nibbling it and spitting it out, my guess would be that he will probably be ok until you can cover it tomorrow. If he is ingesting it, try distracting him with some paper/a phonebook/veggies/hay etc.
If you have any 24 hr grocery stores around you, you can run to one of them and ask for some boxes. Try getting some from a cereal aisle because food items will not have been in contact with dangerous chemicals that could have leaked onto the cardboard and you can get larger boxes there. Remove all tape and staples and then just put it on the floor of his area. It doesn’t even really need to be covered in fleece, though fleece would be nice so that he has something warm to snuggle on. Chances are, he will dig at the cardboard.
Keep an eye on him and just make sure he doesn’t stop pooping and he keeps eating like normal and that his tummy doesn’t feel hard.