Would a stereo camera shoot photos with a parallax?

This is not strictly Apple-related though my guess is that if anyone would pull this out, it would be Apple.

So if, say, an iPhone had 2 cameras, mounted symmetrically in the top and bottom bezels. You would take a picture using both cameras simultaneously. Question: would the software then be able to render a parallax effect as you move the picture in your hand? I take that it should be able to, differentiating the focus and background.

I dont think there's any camera doing this currently. It'd be cool though.