It is possible to grant the special permission "anonymous" in a space. This allows people who have not logged in to create and edit pages.
It is usually a bad idea to allow this, as you won't have any idea who creates or edits your content in that space.
Never put an anonymous-write Confluence on the internet either, keep it locked up within your organisation's firewalls, or it WILL be attacked and used for spam.
what do you mean by full permission?
If you allow 'anyone' to create pages, you don't have to have an account but that usually leads to spam as without an account there is nothing to stop anyone (even robots) to create pages.
I may not understand your question though, would please explain it again with a bit more details.
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