It looks like it. Even Charlie's unfortunate death (which seems like a freak accident) ultimately appears to be something that was orchestrated by the cult, as indicated by the carving of Paimon's symbol in that telephone pole. So, by some kind of witchcraft, or even by the sheer will of Paimon, Charlie's death was enacted in a very deliberate way.
Joan gives Annie a ritual that will welcome Paimon's spirit back into the Graham household, and she disguises it as "a way to communicate with Charlie's spirit." Then, the cult does a ritual of their own (which seems to involve the beheaded body of Annie's mother) to put Paimon's spirit into Peter's body.