The Steam Frame shows a lot of promise in terms of letting people play games on a massive virtual screen. But with the hardware, even more is possible. I hope they are working on a compatibility layer that allows 2D games to be rendered in 3D, like the 3D TV of the 2010s. In my opinion that would be a killer app.
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!
VITURE's Immersive 3D already offers this for several platforms (for VITURE glasses).
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".