Richard,
As I have never actually tested it myself I cannot be 100% sure but I would say not. Once you lose resolution you cannot get it back because the pixels (now the super pixels) take up a portion of the sky. What drizzling does is increase SNR and tightens up stars, allows for greater sharpening on galaxies and the like. Technically it doesn't give back the resolution, only allows you to get more out of the resolution you're getting.
In science, you cannot have your cake and eat it too
Physical laws that govern the universe tend to get in the way of fun haha