Yes. I would not choose any family though, to both keep the rest of my family together and make this answer more interesting.
People:Occupation (in no particular order):
Mike Harry:Keeping everything running
John DeGroot:Hunter/Strategist
???:My crush whose name I will not reveal at the moment
Zach Castellanos:Religion
Noel Taide: Research, Scientist, the one who tells us if it's safe to eat stuff or not and much more.

Tools:Reasoning (In order of importance)
Fixed blade, full tang knife:It's a knife, a great tool to use at any time.
Spool of Paracord: Paracord is great for a multitude of uses.
Cast Iron dutch oven: This is all we need to cook just about anything. If we need water, we can strain it through a makeshift filter into this, then boil it. This is also the best cooking appliance, under these conditions.
Axe: For cutting down trees-obviously.
Cotton Balls: This needs some explaining. It is much easier to start off "farming" hydroponically.

Personal Posessions:
Emercency Medical/surgical kit
Laptop
Emergency generator (to justify the laptop)
Canteen
Italian Horn+Family ring