No. Harry Potter is a distinct and original fantasy series created by J.K. Rowling. It has its own unique world, characters, and storylines that have no relation to Kakuzu, which is from a different fictional universe altogether.
Well, Kakuzu and Sakura fanfiction can be really interesting. Some fanfictions might explore an unlikely friendship between them. Since Kakuzu is a rather complex and dark character from Akatsuki, and Sakura is a determined kunoichi from Konoha. Writers often play with their contrasting personalities to create unique storylines.
One possible angle in the 'Hidan and Kakuzu Hurt' fanfiction could be the consequences of their actions on themselves when they are in a vulnerable state. Hidan's immortality and Kakuzu's unique body structure could be explored in relation to how they experience and recover from harm. The fanfiction could also explore the reactions of other characters in the Naruto world to seeing these two usually tough characters in a hurt state, which could lead to some interesting character development for all involved.
Well, a Kakuzu and Hidan fanfic can be really interesting. Kakuzu is all about money and his unique abilities, while Hidan is this crazy religious fanatic. In a fanfic, they might be on a mission together. Maybe the author would explore their relationship in the Akatsuki more deeply, like how they tolerate each other's quirks. It could also show their growth as characters within the context of the story.
Sasuke could be a rival. He's always been competitive with Naruto, and he might see Fuu as an obstacle in Naruto's path. Also, some of the more arrogant ninja from other villages, like those who look down on Naruto's boisterous nature and Fuu's different style of fighting, could be rivals.
In the fanfiction, their relationship could develop in a very passionate way. Since Naruto is a very emotional and energetic character, and Fuu has her own charm. When they decide to have a child, they would be super excited about the future. However, they would also face difficulties like any couple. There might be times when Naruto's duties as a ninja conflict with his family life, and Fuu would have to be understanding. And vice versa. Through these ups and downs, their love for each other and their child would keep their relationship strong.
If Hidan were to be captured and tortured, Kakuzu would be enraged. After rescuing Hidan, Kakuzu would stay by his side during his recovery. He'd be uncharacteristically gentle, making sure Hidan had food and water. Hidan would be touched by this side of Kakuzu that he rarely sees, and it would strengthen their relationship.
In a hurt/comfort fanfic, perhaps Kakuzu has some emotional turmoil. Hidan, despite his crazy nature, tries to comfort him. Hidan might sit down with Kakuzu and just listen to him talk about his past traumas. Hidan's presence, even without saying much of the 'right' things, could be a source of comfort for Kakuzu as he realizes he's not alone.
Maybe for his own gain. Kakuzu might see potential in Naruto and think that by training him, he can use Naruto for some future plan. For instance, if Naruto becomes powerful enough, Kakuzu could use him to take on bigger enemies or get access to certain resources.
In a Naruto Kakuzu bloodline fanfiction, it might explore how the two characters' bloodlines interact if they were related in some way. For example, perhaps there was a long - lost family connection that was hidden, and this connection unlocks a new form for Naruto that combines his Uzumaki bloodline with Kakuzu's mysterious lineage. This could lead to Naruto having enhanced physical strength and durability similar to Kakuzu's tough body.