Yes, you can go to http://www.chess.com/home/edit_profile.html and then in the "About Me" section you should see the Diagram editor in the place where the games are which you can click and then click the Game Editor button on the toolbar to edit that game.
Editing games already on profile?
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On my profile, I've inserted two games. One a few months ago, and one now. Is there a way I can edit the information I put in it (such as the names, ratings and date of the game) without having to delete it compltely?
Thanks.