Yes,
What I typically do is make the custom site have the same name as the bigfix.me site:

This is definitely true for ISV sites (C3, RES, and Carbon Black) but may not be true for non-ISV sites (other sites community members make).
This is because ISV sites do a hard sync (updates to the site update in your console) whereas normal non-isv sites just dump the content into the site and don’t propogate changes.