Yes, there are likely some out there. Fanfiction writers often like to combine elements from different popular series. They might create a scenario where Naruto obtains or uses Incursio in some unique way. However, the quality and nature of such fanfictions can vary greatly.
Tatsumi is likely the main character in the story named 'The Push Man'. He might be someone who is involved in a pushing - related job, but we don't have more details without reading the actual stories.
Tatsumi would likely react with defiance. He's a brave character and wouldn't easily submit to Esdeath's kidnapping. He might try to fight back right away if he has the chance.
Well, in general fanfiction, Tatsumi is often depicted as brave and kind - hearted. But in lemon fanfiction which we should avoid due to its inappropriate nature, if any such exist, it might distort these characters in an improper way. Mine is usually seen as strong - willed, and in normal fanfiction she has great chemistry with Tatsumi in terms of their personalities.
You could try searching on popular fanfiction websites like Fanfiction.net or Archive of Our Own (AO3). Just type in relevant keywords like 'Naruto' and 'Incursio' in their search bars, and you might find some stories that match what you're looking for.
Tatsumi might also face opposition from his friends and allies. They would likely be very suspicious of Esdeath and not understand why Tatsumi is falling for her. His friends could try to convince him that she's not good for him, which would put a strain on his relationships with them as well as his new - found feelings for Esdeath.
Yes, unfortunately, Tatsumi met his end in the manga. His death was a crucial event that influenced the direction of the narrative and the fates of other characters.