Unlikely, but I also believe that's up to the developers on how they track your in-game data and achievement application.

I've had games where just launching it will unlock achievements that I would have otherwise unlocked through prior gameplay.

But I don't believe every game does this

It depends on if they were recording your data before the achievements were added.

Ive had several games where an update was released adding achievements and after applying the update achievements popped without loading the game, though that is usually required.

Ubisoft is very bad at this.

Originally posted by Uthril:

Hello, I have some games, for example all the farcry games that I finished a few years ago, whose achievements were added much later. If I reinstall the game and recover my game, will I unlock the achievements that I would have obtained?

The Far Cry games added all/most? of the achievements when I reinstalled and started them recently after a hardware update.