I would assume there was. Wasn’t Peter the Bishop of Antioch, before traveling to Rome? This would fit under the Petrine Ministry and not under the Papacy.
Peter then traveled to Rome, and became the first Bishop of Rome. This is the wellspring from which our Papacy came from (Other than that whole “Thou art Rock (Kepha)”, thing!).
Once again, I must admit that my knowledge of history is,
NotWorthy