There was no movement from Kirk at all.
What breaks my heart the most about these reactions is that everyone has suddenly become their own opposite in the face of Kirk’s death. Energetic, joking Scotty looks like he’s aged at least ten years with grief, like he’ll never smile again. Strong, put-together Uhura completely breaks down. Spock gives no fucks about holding in his emotions. Bones looks like a child who just watched one of his parents walk out on him forever. They aren’t Jim’s crew anymore, not in these brief moments. They’re entirely different people.