No, however it's a great idea. Maybe you can explain your idea to chess.com using the " make a suggestion tab"
Is there a way to "favorite" your best games?
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You can download it into a pgn file and save it to your computer. You can look at it later with the pgn viewer in explorer.
Is there a way to favorite, highlight, track, or record your favorite games? In other words, is there a feature that you can mark to indicate that you would like to include a certain games in a list of your favorites? This would be a great way to go back and study important games you've played.