Charles Dickens didn't believe in any of that s**t and used coincidence the way other writers use verbs. His stories are littered with coincidence. A Tale of Two Cities has important plot points centered on the fact that two characters look the same. Oliver Twist features an orphan rescued from the world of street crime by a benevolent upper class family, only to discover that he's the long-lost nephew of that family (and the long-lost half-brother of a man who'd been pursuing him). In Great Expectations, characters overhear conversations that are incredibly unlikely to have taken place in their presence and accidentally bump into each other in places none of them would ever likely be.
"Wouldn't it be weird if we lost touch with each other and independently came back here for no reason at all 11 years from now and everything wrapped itself up happily?"
"Oh. Well, all right then."