Architecting a Myth

I wonder if László Tóth escaped the Nazis by jumping out of a prison transport train? Director Brady Corbet does not tell us how Tóth, a fictional Hungarian Jewish émigré in America, survived the Holocaust in his epic The Brutalist. But towards the beginning of the film, Tóth mentions that he broke his nose jumping from a train car, while mistaking as gunfire the sound of bone cracking against a tree.