That's an interesting question. From a philosophical standpoint, existence is often viewed as a necessary condition for everything that exists, including the universe itself. So, in that sense, the universe couldn't exist without some form of existence. However, it's worth noting that existence is also a very abstract and general concept, and we might interpret it differently depending on the context. In any case, the relationship between the universe and existence is a deep and complex one, and there may be many different ways to approach the question.