If we're talking the kind of hypotheticals fiction gets into of what is effectively broad scale, near-instantaneous breakdown of industrial society, I don't think so. There'd probably be pockets of it who would turn to violence for a time, but then they'd settle into the sobering reality that they survive longer working together than being at each other's throats. The degree of rugged individualism "I got mine" in the US depends on the obfuscated systems of production and distribution functionally continuing to work. Without it, what you get is most not knowing how to take care of themselves (because up to that point a self-sustaining lifestyle is made next to impossible to do unless you're a fringe rural setup) and needing each other more than ever. So short-term, yeah, some wildness, but if it drags on for any length of time, it's a drastic change in material conditions, so people are not going to be able to keep up the same salivating individualist bullshit.

Makes me think of that group in the US years back who took over some government building temporarily. They were pretty rightist, IIRC, but I think also anti-government? So like, lolbertarian or something? Anyway, they really thought it through super well; it was like less than a day? before they were on facebook asking for food donations so they could hold out longer there. That I think is a fairly accurate picture of what the more violent parts would be like. But without the facebook to turn to, so they'd just be mega screwed and either die of stubbornness or find some way to work together.