I was going to say impossible, reasoning from how I understand your eye's lens to focus. But that doesn't rule out the possibility of it working if out-of-focus

I was going to say impossible, reasoning from how I understand your eye's lens to focus. But that doesn't rule out the possibility of it working if out-of-focus. If you look at a small point light source and let your eyes go out of focus, the light smears to a larger range. The shape and texturing of that range depend upon the light source: for example search for bokeh shots during a partial solar eclipse. This should be emulatable with a small projector. However the size up of the image should be no bigger than what you see when you let your eyes go out of focus, which isn't really that much. And you'd have to find a way to make your eyes want to focus like that, which could be tricky.