Well, it's very likely. Naruto has a huge fan base, and so does the concept of the Mad Hatter from Alice in Wonderland. Writers often like to blend different fictional elements together. So, a fanfiction with Naruto as the Mad Hatter could be out there. It might explore Naruto's character in a whole new light, perhaps with his ninja skills combined with the quirkiness of the Mad Hatter in a strange and interesting fictional world.
In 'naruto mad fanfiction', a key characteristic is the freedom to deviate from the canon. Writers can rewrite the fates of characters. For example, a minor character might become a major player. There's also a tendency to expand on the lore of the Naruto world. This could involve creating new clans or secret techniques. Moreover, the fanfiction often delves into the backstories of characters that were only briefly mentioned in the original, like exploring more about the Uchiha clan's history in relation to Naruto's story.
One characteristic could be the adaptation of Harriet's personality to fit into the Naruto world. For example, if Harriet is a headstrong character in her original context, in the fanfiction, she might have to use that trait to survive among the tough - minded ninjas. Also, the fanfiction might explore how the Naruto world's rules and magic affect Harriet and vice versa. This could lead to some really interesting story developments.
The theme of inner darkness also frequently appears. The'mad' state of Naruto can be seen as a manifestation of his repressed dark side. Fanfiction writers use this to explore how Naruto copes with this new, more sinister part of himself. They might show him either succumbing to it or finding a way to overcome it, which makes for an interesting read.
Another theme is the clash between traditional ninja ways and scientific thinking. In these fanfictions, the Mad Scientist often has to face resistance from the more conservative ninja who are used to the old ways. It creates a lot of interesting conflicts and storylines. For example, they might not trust the new inventions or think they go against the ninja code.
One possible reason could be training. Maybe Kakashi's training methods are too harsh for Naruto. Naruto is eager to become stronger quickly, but Kakashi might be holding him back in Naruto's eyes. For example, Kakashi could be making Naruto do repetitive basic drills instead of teaching him more advanced jutsu right away.
A frequent theme is the combination of two different worlds, that is, the world of ninja and the world of science. Naruto tries to bridge the gap between them. Also, the theme of discovery is common. He discovers new powers or ways to enhance existing ones through his scientific experiments. For instance, he might find a way to make his shadow clones more efficient by applying some scientific theory.
In some fanfictions, Naruto could be mad at Team 7 if there was a new member added and he felt replaced. He has a deep bond with Sasuke, Sakura, and Kakashi, and any disruption to that dynamic might lead to anger. Also, if the team made a decision without consulting him, like choosing a mission target without his input, that could be a cause for his anger.
Well, obviously the mad doctor is a main character. He could be an original character created specifically for the fanfiction. Then there could be Naruto himself, who might be involved in trying to stop the mad doctor's evil plans or, in some cases, might be seeking the doctor's help for a friend's illness.
In 'mad scientist naruto fanfiction', Naruto is central. The mad scientist is, of course, a key figure. Sakura could be another common character. She might be involved in trying to heal Naruto if the scientist's experiments go wrong. Also, characters like Jiraiya could be in the story. Jiraiya might have some knowledge about the scientist's motives or past and help Naruto figure out how to deal with the situation.