Of course! My family would miss me dearly, even if I do drive them up the wall with being my dumb self. We're family, and for the most part, we get along pretty well. Death is... something that's permanent. As long as you can remember the deceased, and also granted that you were close to them, I'm sure you're going to miss them. There's probably going to be times right after the death that they'll want to see you, to tell you something, or maybe to share good times, but you'll be gone...
As for outside my family, I'm sure my close friends would. Other than that, people might go "oh, that girl's gone...", be sad for a little bit, and then move on a hell of a lot faster than my family.