No, its not possible to transfer your character if you are still married to someone in the game, nor holding a house or if your character is blocked from transfering to another world.
I believe when you pay your transfer, its shows a big text with the MAIN reasons of why you won't not be able to leave in the serversave, if its the case.
You can keep the ring if the other player is the one who's getting divorced, then your ring doesnt break.