So is $100k and whatever you already own the minimum you would say this it's possible to do this with?
Again, it all depends on what you require and how you want to live.
Even if I started out with nothing, with $100k I could probably buy a place outright (a truly run-down shack, mind you) and still have enough to bootstrap myself into life-long self-sufficiency(excepting maybe the internet requirement). There are very cheap properties (some rural, some urban) in many states (even Hawaii!), so it all depends if you want 1 undeveloped acre on a tropical island or 5 acres in the mountains of West Virginia with some 100-year-old moonshiner's cabin already built.
Nothing fancy, just a .22 rifle and a 12-gauge shotgun with a good supply of rounds for each, two of the most humble and versatile firearms one can own.