“Have yet to” means a.) you have not up to this point and b.) it’s possible you may have to in the future (but possibly never).
“Haven’t yet to” is ungrammatical but “haven’t yet” means a.) you have not up to this point and b.) you expect to have to in the future.
“I have yet to meet someone from Italy.”
“I haven’t yet been asked to renew my passport.”
It’s more common to move the yet to the end of the sentence in this construction. (There is an implication that you expect to be asked at some point.)