Running out of things to talk about?

Hi! I need help. Me and my sort-of boyfriend (we broke up when I went to college but we still talk basically every day) we’re talking earlier today about what the future would be like. He said that I should just move on and get a new boyfriend bc eventually we would run out of things to say bc we don’t have all the same interests. Is that actually a thing that happens? Please I need help and I’m still in live with him, I don’t want to lose him bc of this.