is this a ethos if yes or no why or why not?

"as your father, i love you and only you want the best for you, therefore when i ask you not to go, please listen to me"

Yes, this is an ethos because the speaker is establishing their credibility and authority as a parent to convince the listener to listen to them. The speaker is using their position as a father to persuade the listener to trust their judgment and follow their advice.