Yes! He was drunk because of her.
He was drunk on love.
He only went to the bar because of his friend, David, and drank a few shots to accompany him. He was not expecting that he would consume more than his limits.
But he did not intentionally wish to get drunk. He had no reason to be. He was deliriously happy because he would soon be with the woman he loved. It was just a matter of time.
"What are you doing here, Roseann?" He was surprised to see her at his place at that hour.
He was drunk, but he was still aware of his surrounding. Compared to before, when they first met, he was presumably less drunk.
He was glad that David offered to drive him home, or he might end up in a ditch somewhere, under the mercy of someone.
However, he still could not keep his balance as he allowed her to guide him back to his apartment. But it seemed he still ended up being rescued by his friend again.