There absolutely is such a thing as epigenetic inheritance. E.g. https://en.wikipedia.org/wiki/Genomic_imprinting Epigenetics is a pretty broad term. Transgenerational epigenetic inheritance of environmentally-induced expressions, however, has never been firmly demonstrated in mammals, let alone humans. There's a bunch of needles that need to be threaded to achieve it, for example modifying gametes, then sneaking past the epigenetic resetting that occurs during meiosis, etc. Repeat the feat to cross more than one generation.

There's a ton of extravagant claims and overly credulous reception driven in part by powerful cultural narratives. AFAIU, epigenetics in the popular discourse has different connotations then for most scientists. And when a scientist says epigentic processes are beyond dispute--because many of them are clearly established as key to some basic developmental processes--the lay person takes this as validation of, e.g., epigenetically inherited intergenerational trauma. But there's tremendous distance between those two extremes, both semantically and physically.