This is why communities need to build up and connect. Consent-based power structures (e.g. direct democracy, decentralized, horizontal power structures) can provide aid and assistance to those subjected to rights violations.
While there may not be a formal police force, do you think everybody in such a world would stand idle in the face of a tyrant or mass murderer? It's only happening now because people are so disconnected and given the fact there is no democracy - only an illusion of it.
Under socialism, people won't be as motivated to steal and commit other crimes to meet their needs, besides perhaps sexual "needs", which I'd argue such sexual crimes would become rarer as healthier communities form and rebuild. And individuals who committed crimes in the past would likely be allowed to be rehabilitated and properly enabled to re-enter society, instead of being left with no choice to commit crime to survive because nobody wants to hire them.
If you or anybody else knows more about anarchy than I do, please correct me if I'm wrong, but anarchy is not chaos without the state and centralized governance.
Related reading: https://www.anarchy.no/anrights.html