This American has never knowingly heard it, but Merriam-Webster, an American dictionary has, and doesn't mark it as non-US. It gives a sample expression using the term: make no plans but leave things to the chapter of accidentsHi,
Does chapter of accidents sound strange to an American ear? It's another one of the phrases listed in the Cambridge Idioms Dictionary, 2nd ed. (2006). I looked it up in the COCA corpus and found only two instances of it.