Indeed not. It was a remote-control war; they blew each other up at long range with radar-guided nuclear missiles. Neither side saw any member of the other, just their ships. (This was basically the biggest plot point in "Balance of Terror", narrowly edging out "being the captain of a starship sucks sometimes.")

Presumably the writers of the 2009 film either forgot that detail, never knew it, or chose to ignore it.

--G.
-><-
Benjamin D. Hutchins, Co-Founder, Editor-in-Chief, & Forum Mod
Eyrie Productions, Unlimited http://www.eyrie-productions.com/
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Ceterum censeo Carthaginem esse delendam.