Sure.
If I make my own AI image generator and create a nice image with it, or use some AI engine that gives me full ownership of the output, I can choose to share it online with whatever license I want to share it with. I don't see why the regular copyright rules for digital images and photographs would not hold... If someone shares their AI creation online and wants others to share with attribution, or not share at all, what is wrong with that?
I can take a ton of photos of objects with my phone, upload them to Flickr, and they are all copyrighted. That doesn't mean that other's can simply take similar photos if they wish to do so. The same with AI. One can decide whether to share with attribution, pay someone to let them use it, or to generate the image themselves using AI. It does not seem like a problem to me.
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