No, because there’s a fundemental difference between a tool that functions directly as a consequence of what you do, and an independent thing that acts based on your instruction.

When you take a photo, you have a direct hand in making it - when you direct an AI to make art, it is the one making the art, you just choose what it makes.

It’s as silly as asking if your paintbrush owns your art as a response to being told that you can’t claim copyright over art you don’t own.