[XorNot]

Yes, and wikipedia is not the study of epidemiology.

Epidemiology as a field did not publish papers or study the idea of "natural" herd immunity till last year when politicians started throwing the term around and a whole lot of researcher's scrambled to see whether this insanity had any merit.

Of which the answer is what we already knew just spelled out more specifically: no, this doesn't actually happen in the wild without vaccines, because it's literally just spreading the virus. Viruses burn themselves out after infecting basically everyone, provided immunity is long lasting.