At least one, but maybe 2, people named Uriel where mentioned in the Bible. One was a Levite. The other mention didn't specify the lineage.
Levi > Kohath > Amminadab > Korah > Assir > Elkanah > Ebiasaph > Assir > Tahath > Uriel
1 Chronicles 6:16-24:
16. The sons of Levi: Gershon, Kohath and Merari.
17. These are the names of the sons of Gershon: Libni and Shimei.
18. The sons of Kohath: Amram, Izhar, Hebron and Uzziel.
19. The sons of Merari: Mahli and Mushi. These are the clans of the Levites listed according to their fathers:
20. Of Gershon: Libni his son, Jehath his son, Zimmah his son,
21. Joah his son, Iddo his son, Zerah his son and Jeatherai his son.
22. The descendants of Kohath: Amminadab his son, Korah his son, Assir his son,
23. Elkanah his son, Ebiasaph his son, Assir his son,
24. Tahath his son, Uriel his son, Uzziah his son and Shaul his son.
1 Chronicles 15:3-11:
3. David assembled all Israel in Jerusalem to bring up the ark of the LORD to the place he had prepared for it.
4. He called together the descendants of Aaron and the Levites:
5. From the descendants of Kohath, Uriel the leader and 120 relatives;
6. from the descendants of Merari, Asaiah the leader and 220 relatives;
7. from the descendants of Gershon, Joel the leader and 130 relatives;
8. from the descendants of Elizaphan, Shemaiah the leader and 200 relatives;
9. from the descendants of Hebron, Eliel the leader and 80 relatives;
10. from the descendants of Uzziel, Amminadab the leader and 112 relatives.
11. Then David summoned Zadok and Abiathar the priests, and Uriel, Asaiah, Joel, Shemaiah, Eliel and Amminadab the Levites.
Jeroboam was the grandson of this person named Uriel - 2 Chronicles 13:2:
1. In the eighteenth year of the reign of Jeroboam, Abijah became king of Judah,
2. and he reigned in Jerusalem three years. His mother's name was Maacah, a daughter of Uriel of Gibeah. There was war between Abijah and Jeroboam.