No you can't the game is only for xbox indie games.
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One can play the Zombie game in the following websites; Free World Group, Y8, GameShed, Kotaku, LFZombie Games, Armor Games, Zombie Games, and Kongregate.
you can't become a zombie once you die the game is over and you have the option to play again but again you can not become a zombie
Nuno Silva
You can play multiplayer as long as you have internet. Internet cable or not.
You need an internet connection to play online only