No. (At least not the way I understand your question).
UIDs are only 16-bits. That's way to small a space to prevent a brute force
attack.
You'll need some other information per user, such as a file (eg.
~/.ssh/identity.pub). This only works if for each UID there is a unique home
directory and file, which in reality on most machines is not the case.
Of course, you could alway has the UID a few billion times to slow down a
potential brute force... but it not terribly practical.
-Chris
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