I can't imagine any company doing this over that question. It cost them a lot of money to hire and start training you. And it isn't even a capability related question like if you lied about your education.
I've seen it happen. A peer team had found an excellent match and extended the offer, which was accepted. Then during the background check there was some discrepancy in details (not salary, but even more trivial stuff) and HR canceled the offer. Management fought it hard but HR stood firm, offer dropped.
If you lie and they verify it later after an offer (which they probably will during background check), you'll be fired for the lie.