Trekmovie now also has an article up.
TrekMovie has confirmed that they reached out to the family and are working on a plan to get this fan some kind of screening.
Of course the film itself is not actually in a complete form. For example at the recent Bad Robot event, composer Michael Giacchino confirmed he hasn’t recorded any music beyond what was needed for the nine minute preview.
However, TrekMovie has been told that some kind of "rough form" of the film will be screened for the dying fan sometime soon.