IN the trailer we see Kirk and McCoy at least three times before they get to the Enterprise:
Cadets getting ship assignments. Kirk and McCoy on the left with backs to the camera
Golly, gee whiz cadets McCoy and Kirk
Grizzled, death and disease McCoy in what might be civvies. Kirk in black.
No idea if they are going to the E in picture 2. Picture 3 seems more likely.
Though 3 could be pre-academy.
Cadets in red in pics 1 & 2. Could be a cadet between Kirk and McCoy in 3.