Yes as long as they are console games for the PS2, Xbox, Xbox 360, PS3, DS or PSP. Older games or computer games are best sold online or at "mom and pop" stores or smaller chains like Play N Trade.
Tell them that you would like to sell your games.They will ask you if you have an EDGE card.If not you will have to sign up for one.When you trade in your games they will put the money on the EDGE...