On yugioh did kaiba ever become friends with yugi and joey?

Yugioh and Yugi are the same person. Kaiba never became friends with Yugi because he didn't like him and wanted to take his championship away. Kaiba thought Joey Wheeler was a dweeb and didn't want to be around him because of his amateur skills. Now that Yugioh is long over, you learned that sometimes you need to use teamwork whether you like someone or not and that's a lesson in life, we all need to learn.