Seems unlikely considering the genre. It's not a genre that lends itself well to win "game of the year" vs other genres.
GOW is best compared with an action movies. No matter how good the action movie is... the year has to be very weak for it to get consideration.
Other genres tend to have a leg up in comparisons across genres with reviewers. The story won't help either. GOW stories are serviceable and great for what they are... but in the same way the Story of Die Hard is serviceable to draw a comparison back to action movies.