I think you could've a while back, but not anymore. There are recovery questions, then there's JAG. JAG is a lot more secure and efficient. Once it's set, it can't be changed (except under special circumstances). JAG can only be enabled and disabled.
If you buy an account that has had JAG on it at all for any period of time or for any reason, you will need the answers to the questions. There is a very small probability that you - the buyer of the account - can have the JAG questions deleted.
Hope that answers it, lol.