Are you able to access a member’s “draft posts?”
I think that only administrators would be able to gain access to your draft posts, and it would involve changing your password and logging in to your account; there is no function in the software to access a user’s drafts, PMs, etc. It is probably also possible by directly querying the database.
I am not interested in what you think - my post was addressed to the moderators. If they refuse to answer, let me speak to the owner! 
That was the owner. 
I know! It was supposed to be a joke! Backfired a little when I subsequently noticed Carleas IS a moderator of this forum. 
Did he say Yes, or No? 
No, all moderators cannot read draft post.
Yes, certain moderators could read your draft posts, but it would require changing your password.
Exactly one moderator (me) could access your draft posts through the server without changing your password.
Exactly zero moderators have any interest in accessing your draft posts, and it would take a fair amount of work for anyone to even find out that you have draft posts.
Can the NASA access my draft posts?
Not right now they can’t… coz they’re on shut down 
Area 51 has the only access.
Ooh, really?
What’s goin’on over there…?