For 10k Users Only
With one notable exception, no, immoderatorial users cannot normally know such things.
However, 10k users are granted added oversight capabilities to help police the site under the principles of scalable community moderation. They are therefore potentially able to see at least some of those pending close-votes by examining recent relevant entries from the close vote review queue history.
Mind you, those will only be the close-votes that happened via that review queue. But it's more than nothing.
Please use this power for good, not for evil
Just like with anything else on the site that catches your eye as being possibly dodgy, if you think you see anything untoward happening there in the history listing, please custom-flag any (preferably related) post for moderator attention and include your concern in the detailed text you send us with the flag.
Because moderators have much greater visibility into site operations than even 10k users have, we can take the ball and quietly investigate your concern more deeply — and, should the situation warrant it, take appropriate action.