I believe it does happen. https://en.wikipedia.org/wiki/Binjamin_Wilkomirski https://en.wikipedia.org/wiki/Binjamin_Wilkomirski is not clear whether the subject

I believe it does happen. https://en.wikipedia.org/wiki/Binjamin_Wilkomirski https://en.wikipedia.org/wiki/Binjamin_Wilkomirski is not clear whether the subject lied about being Jewish or simply lied about his upbringing, but I'd guess the latter.