No, they do not. Stories are entirely superfluous, like music, voice acting, and cut scenes. They might contribute considerably to your game play experience and make the game more memorable, but they aren't actually necessary to make a game. It's one of the reasons why I shake my head when people on this forum rant extensively on how a great story makes up for crap game play, or how story should always have priority over game play. No. Just... no. Game play and interactivity is what makes video games unique among other forms of media like movies and books. No matter how good a game's story and characters are, and no matter how invested in them you are, if there's little to no interactivity or input on your part then there's no stakes. Nothing that happens in the game can be reflective of you or your actions. A great game makes good use of story, game play elements, and the other set dressings. A game with good game play that has little to no story can still be a good game. A game with a good story and is light on game play is an interactive movie. A game with a good story and no game play is a book.
For the record, by story I mean plot, narrative, characterization, and etc. A little context on what you are doing, the rules of your game world, and how your actions affect what's going on in the game are necessary, otherwise you'd just be playing a game of calvin ball.
For the record, by story I mean plot, narrative, characterization, and etc. A little context on what you are doing, the rules of your game world, and how your actions affect what's going on in the game are necessary, otherwise you'd just be playing a game of calvin ball.