Nah that wud be a weird storyline... But a time will when they both die fighting some op mtherfu**er or have to fight each other for the "cause" or the "village"
Kishi will think of a storyline good enough but for now i think we can assume that wont be the storyline.
naruto is the solo king: he can solo all the kunoichi in narutoverse and will still have more than enough energy to share to those who have erectile dysfunction...