The question of whether a self-existing universe implies the absence or presence of a creator, such as God, is a topic of philosophical and theological debate. Different perspectives exist on this matter, and it ultimately depends on one's beliefs and philosophical assumptions.
From a religious standpoint, proponents of theistic beliefs argue that even if the universe is self-existing, God can still be seen as the ultimate cause or sustainer of all that exists. They might posit that God created the laws and principles governing the universe, set the initial conditions, or plays an ongoing role in its existence.
On the other hand, some individuals who hold a naturalistic worldview might argue that if the universe is self-existing and has no need for a creator, then the concept of a deity creating anything becomes unnecessary or redundant.
It's important to recognize that questions about the existence or role of a creator are deeply philosophical and often depend on personal beliefs, faith, and interpretations of available evidence. Different religious and philosophical traditions offer a variety of perspectives on these matters, and there is no single universally accepted answer.