Sure. I was trying to put all of the current 463 badges in so when new ones came out, the load is easier on new wiki editors. But if you want to help, by all means.
Paragon Wiki, unlike Wikipedia, doesn't allow anonymous edits. You need to log in at the upper right. Like Paragon Chat, it's the same username and password as the forums.
If you log into Paragon Wiki and still can't edit the pages, let me know.