I think it could work if they say made the plot lines from the episodes.
For example the Pancake Batter Anomaly: Playing as Leonard tryng to sneak into his apartment to find his glasses after breaking them. ou playing as Sheldon atempting to drive Penny to the hospital. ou Howard and Raj as they cerf-volant battle ou something lol.
Video games based on TV shows have not always been good (e.g. Hell's Kitchen, Les Experts etc) so I hope they don't make one for this show, because there would be nothing to make a game out of unless it was a game based on a game they played like 3D ou even secret agent laser chess. If they did I call Leonard in his boxers and green lightsaber hahaha :p
If they do, they should have it season par season, episode par episode, and toi should pick who toi want to be in each episode, e.g. sheldon, leonard, howard, raj, penny, amy, bernadette and maybe stuart
An action/adventure game (think Psychonauts) where toi get to control Leonard, Sheldon, and Penny. They all have different talents and toi have to switch between them to complete different levels and different puzzles, based on their personal capabilities.
For example, Sheldon would be the best at puzzles/levels that involve OTT nerdiness, and Penny would be best at the ones that involve common sense ou rue smarts. Leonard's capabilities are a mix of the two, but not as extreme as either one.