Kurtzman told The Hollywood Reporter that, although Kirk became Captain of the Enterprise in 2009's Star Trek, his relative immaturity and lack of experience may mean that he isn't immediately comfortable in the role.
"I tend to look at things first and foremost as a character's journey from beginning to end, and oftentimes the journey won't be resolved at the end," he explained.
"Jim Kirk, for example, inherits the Enterprise at the end of Star Trek but that doesn't mean he fully understands what it means to be Captain. It just means, oh, he has the Enterprise now - so now what?
"He's never sent men and women to their deaths before, so what's going to happen when that kind of question comes up for him? I guess I normally look at it from a place of pure character."
Kurtzman also stated that he and co-writers Damon Lindelof and Roberto Orci were keen not to rush the emotional development of the Enterprise crew as a whole.
"They're not - the crew from the original series had gone on many, many journeys, they were a well-oiled machine in terms of how they function, and these characters are still figuring out who they are and who they are to each other.
"And I did not want to jump so far ahead that we missed a really important emotional connection to that transition for them."
Noel Clarke and Simon Pegg have recently spoken to Digital Spy about their time filming Star Trek 2, while Pine has described the film as "a small, character-driven story".
Pine reprises his role as Kirk in the sequel, with Zachary Quinto, Zoe Saldana, Anton Yelchin, John Cho and Pegg also returning, and Benedict Cumberbatch, Alice Eve and Clarke joining as new characters.
Star Trek 2 will be released on May 17, 2013. Watch Lindelof discuss the film with Digital Spy below: