That sounds like it may work, but have you tried it? There's a few reasons this isn't trivial.

Firstly, if a sensor captures, say, 4K photos, and you take a picture of a 4K screen, you'll need to line it up exactly, to the pixel (impossible without a rig that allows for minute adjustments). But the bigger problem is that you'd be taking a photo of a screen (glass/plastic and millions of physical pixels) or paper (which has a texture) and both reflect light.

And you can't fix anything in post.

If you do a good job you might get something that fools a casual observer but it won't look like other photos taken with the same camera, it will lack the crispness and dynamic range of an original image.