Not as we know that today.
Pilate, in a letter to Ceasar still in the Vatican, described the marvel of him with light colored hair and eyes telling all the Pharisees about their own business. He was a true Jew.
They were of Abraham, but not Judah. They were cousins of Judah through his dad Jacob's brother Esau (Edom).
Many of that time were called Jews for being CITIZENS of Judea, not by blood relations.