I think I'm right in saying that only Canon make EF-S mount lenses, with the protruding rear element. These are designed not to fit on a full-frame body.
Third-party manufacturers make EF-mount lenses that are designed for crop sensors, i.e. they will physically mount on a full-frame body - as Schizophonic did - but vignette the images.
(Is that piece of wood on the left meant to be curved at the bottom, or is there some extreme barrel distortion going on?!)
If you were desperate, there'd be nothing stopping you shooting vignetted images like Schizphonic's example and then cropping them afterwards to give a useable lower-res picture. You could probably squeeze a few more pixels out of them if the cropping was being done manually.
A.