True. It's pretty obvious that McCoy didn't know Kirk during Kirk's Academy days, and several other episodes indicate that McCoy didn't attend the Academy at all (He's unsure if confinement to quarters is enough punishment for Spock hijacking the Enterprise in "The Menagerie", he can't name a regulation that prevents Decker from taking command in "The Doomsday Machine", and he's unfamiliar with the Academy slang term "Dunsel" in "The Ultimate Computer"). Considering this and McCoy's generally non-military nature, it seems pretty obvious to me that he enlisted in Starfleet and, as a surgeon, was just given a brief training course and a commission.But the little snippets of character history we have from TOS on Kirk, Spock, & McCoy never seems to indicate they were at the Academy at the same time, or that they knew each other there (quite the opposite; see "Shore Leave"), and certainly not that they had cadet adventures together.
With Spock, it's a little less cut & dried if he and Kirk knew each other before serving together aboard the Enterprise. They seem relatively unfamiliar with each other in "Where No Man Has Gone Before" and other early first season episodes, but Spock knows that Kirk knew R.M. Merik in "Bread and Circuses." OTOH, Spock says in "Patterns of Force" that he studied Earth's history from the text that John Gill prepared, while Kirk says that Gill was his history teacher at the Academy. So apparently Kirk and Spock didn't attend the Academy at the same time, or at the very least weren't in the same history class.
Of course, none of these continuity bits would've stopped Paramount from making a Starfleet Academy movie if they thought it would be profitable. And if the movie was good enough, it'd certainly be easy enough to discount those stray bits of dialogue.
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