Lot is said to have been alive around the same time as Abraham, about 2000 BCE. The destruction of Pompeii was in 79 CE. So no. read more
Abraham, Lot and their kin never got anywhere near Italy (Rome). Also the volcanic eruption in Pompeii occured in 79 AD, many hundreds if years after Soddom and Gomorra which happened several centuries BC. The Pompeii eruption had no more connection to Soddom or Gomorra than does the Kilauea eruption occuring right now. read more