Yes

Zagoromo was before the Main and Branch Families of the Hyūga they were unable to respond to his claims but they couldn't deny he was clearly not of their world, and that he did bear a physical resemblance to the People in the Murals deadicated to the Sage and his Brother. Ultimately it was concluded he was telling the truth once he Outsmarted every single attack that was Launched at him and when He revealed several things that were top secret amongst the Hyūga Clan.

The Hokage was unsure what his exact agenda was, but he didn't really give a damn about what she thought. He was more focused on just how much the Hyūga had forgotten, they had forgotten many of the Byakugan's Greatest Strengths, they had gaps in heir History, and they were missing a great deal from their Family Tree. He had been going over the details with Lord Hiashi. Quite Frankly the man was surprised to find out that his Clan were the progeny of the Line of Hamura Otsutsuki, the less well-known Younger brother of Hagoromo Otsutsuki, the Sage of the Six Paths.

Ultimately the Hokage offered him a teaching position if he could beat her in Single Combat. He accepted the opportunity to teach, and met the Hokage at the most remote and uninhabited part of the Land of Fire.