Spider-Man: Noir is a four-issue miniseries which reboots the Wall Crawler into the genres of film noir and pulp fiction. It is set in New York during the Great Depression.
Justified, as the in-game manual and the IGN review both state that Spidey Noir can only wall-crawl at all (that rhymes!) because Madame Web granted him those powers for use in the game. She probably took them away after they defeated Mysterio.