At this point, I would say that the general consensus is that the answer is no, you cannot copyright things created without human authorship. Of course, there are three important things to remember-
1. There is no bright-line test about how much human involvement is needed. A human artist can use "AI tools" and create an image and copyright it. So the only real dividing line right now is that you can't just have the AI be the author of the work.
Which is the general interpretation on copyright generally, not only in the US. It is also quite logical. Imagine you get an AI generator to create a specific image that is protected by copyright, like a very good depiction of Elsa in Frozen. You could say "Hey, I commited no copyright infringement since the AI created the artwork, not me." If you use AI to create something, you're a human, and you exert control over what you must be the author.
We're in the infancy of a life-changing technology (not hyperbole, I think it's on par with the Internet) and it's very much possible that laws will be adapted over time to reflect the interest of the citizens over time, when there will be enough examples to assess the overall effects.2. This is (to date) a statutory issue based upon how the law is written; it's always possible to change the law. (Maybe- it's also possible for courts to reinterpret the Constitution's grant within Art. I).