Not on the site. You could insert the games into a blog or something but that is about it.
Saving specific games

Of course. I haven't played chess in a while but now that I'm back, I remember that acronym, pgn. Thanks, skotheim2.
I play on the mobile app and I downloaded droidfish from my app store. You can go in your game archive select a game then download the pgn, you will get a email and when you open it, it loads the game directly on the engine app and you can save it there and analyze all your games. Its pretty sweet.
Is it possible to save certain games to a certain folder, for the purposes of organizing specific games that one might want to study?