Rather than have badges that can't be won ever again like Precognition, why not make them more general, like first to do X Y or Z? The site is apparently still in beta, so there should be a lot of opportunities to be the first to help out with something.
I don't think that's possible. The badges are general for all SO websites. See some details about it here: Remove impossible badges from per-site metas. There is one badge that can't be earned even on stackoverflow.com