Not sure if this is what you had in mind: Projected 2D views into a 3D "movie screen" environment is a feature of the Frame, per my understanding of their marketing, and of early reviewers' experiences.
If you meant, "do they take 2D render frames from videogames and convert them into pseudo-3d or actual 3d where the user can tilt their head to see a different view INTO the 2D game's universe, e.g. see behind bushes just by tilting head", then "no".
Stereoscopy is definitely possible, but it would be hard to hack it in without developer cooperation. I don't really see it happening for most flatscreen titles.
FWIW though, SteamVR already supports playing non-VR games on a "projected" display using any regular headset. It's not exclusive to the Frame, nor a future feature!
If you meant, "do they take 2D render frames from videogames and convert them into pseudo-3d or actual 3d where the user can tilt their head to see a different view INTO the 2D game's universe, e.g. see behind bushes just by tilting head", then "no".