oh, game companies can and have done so
although it's not NDAs, generally speaking, it's a review embargo: a contract saying "you don't spoil X, Y, or Z before this date, and we will continue to work with you by providing review copies, interview access, etc." It's not legally binding, but if you break the contract you'll have a hard time working with that company again.
typically a post-release review embargo stinks to high heaven of "this is a bad game and we don't want people knowing that before release", though