if it was trained on a sufficient amount of fan art made in the studio Ghibli style and tagged as such, yes.
otherwise those would just be unknown words, same as asking an artist to do that without any examples.
though I am curious how performance would differ between training on only actual studio Ghibli art, only fan art, or a mix. Maybe the fan art could convey what we expect 'studio Ghibli style' to be even more, whereas actual art from them could have other similarities that that tag conveys.
I don't understand. If I make a painting (hell, or a whole animated movie) in the style of Studio Ghibli, am I infringing their copyright? I don't think so. A style is just an idea, if you want to protect an idea to the point of no one even getting inspired by it just don't let it out of your brain.
If the produced work is not a copy, why does it matter if it was generated by a biological brain or by a mechanical one?
When will programmers get it through their thick skulls that an artist taking inspiration from a style and a well funded tech corporation downloading 400 million images to train on are two different things that shouldn't be compared. GPT is not a brain and humans correctly have different rights than computing systems.
I don't know how long you have been in HN, but I would recommend you familiarise with / refresh yourself on the community guidelines (https://news.ycombinator.com/newsguidelines.html). While HN looks and works similar to Reddit (and other such online communities), the tone and culture is not the same.
Would it be possible if Studio Ghibli images had not been used in the training?