At an international corporation with 60k employees I was once able to leave an amendment to my contract unsigned. I told them straight that the amendment is impossible to fulfill and I won't sign it. Legal told me, oh then just put it into the paper shredder. The amendment granted me significant benefits. My line manager panicked and said you won't see the money. Howewer, the money appeared into my account as originally agreed even though I had not signed that part of the contract.
Yes, I was already an employee, which probably changed things. Still I was very surprised how easy it was. I would not count on that every time, especially if you are not an employee yet and like me not a really famous case that your employment would make headlines.
P.S. I did not shred it, but kept it for the case I would need it for any purpose. I never needed it, I was fully paid as agreed by email but never signed on paper.