No, Thranduil does not possess a Ring of Power in The Hobbit.
The Rings of Power, created by Sauron and the Elves, have significant roles in both The Hobbit and The Lord of the Rings. However, Thranduil, the Elvenking of the Woodland Realm, is not depicted as having a Ring of Power in either of these stories. In Tolkien’s lore, Thranduil is known for his wisdom and leadership but is not associated with a Ring like other powerful characters such as Galadriel or Elrond.
The misunderstanding might arise from the grandeur and magical nature of Thranduil’s realm and his character. His wisdom and charm might give the impression that he possesses a great deal of power, but it is not linked to a Ring of Power. Instead, he is more focused on protecting his people and his kingdom from external threats, such as the dragons and Orcs.