Yes.
Eusebius also wrote: James, whom the people called the Just because of his outstanding virtue, was the first, as the records tell us, to be elected to the Episcopal throne of the Jerusalem church."
And Clement, still quoting Barnabas, wrote regarding false Apostles,
Chapter 35. False Apostles. "Wherefore observe the greatest caution, that you believe no teacher, unless he bring from Jerusalem the testimonial of James the Lord's brother,or of whosoever may come after him.
After James was stoned in 62AD, Simeon, son of Cleophas, (first cousin of Jesus and James) succeeded and this monarchical succession, rather the an ecclesiastical one, continued for over 200 years.