Yes. There has to be something there, whether a missing scene (wasn't one in the novelization, but then again, the novelization is way off in many areas) or some kind of nonverbal communication. I've only seen a couple of fics touch against that; I hope there'll be more.

Something else to chew on: in the mind-meld scene with Spock!Prime? All those scenes he's showing Kirk? Where the hell did that scene of the Narada firing on the Kelvin come from? Not Spock's mind, that's for sure; he wasn't there. And I highly doubt Nero melded with him, or even told him, or Spock wouldn't have been surprised when Kirk asks him about his counterpart knowing his father, since Nero clearly knew what it meant that he'd destroyed the Kelvin. (For a Romulan, he knew an awful lot about Federation history).

Therefore, it must have been a spontaneous contribution to the meld by Kirk. Which says interesting things about his mental strength, and also about how obsessively he must have looked into records of what happened that day to have such a cohesive mental image of it. And that's something I haven't seen anyone reference, yet.