Not all characters need to 'grow' per se. Some can get away with just being the static 'Everyman' audience surrogate (Dave is 2001 comes to mind) and others can essentially stay the same, but reveal that they've always had a few layers (arguably how I see Khan in STID). Then you have characters that are purposefully static as a character trait (for eg. Captain Carrot, The Emperor, Henry from 'Portrait of a Serial Killer' etc.)
It all depends on how they're handled.
It all depends on how they're handled.