Well, it's possible. Fanfiction writers love to explore different scenarios, and a 'damian kidnapped' plot can be quite interesting for them to write about. But keep in mind that not all fanfiction is of high quality. You might have to sift through some not - so - great ones to find the really good 'damian kidnapped' fanfictions. It can also be that in some smaller or more niche fandoms, there may be fewer such stories, while in larger and more active ones, there could be a decent amount.
Often, there's a theme of mystery surrounding the kidnapping. Who kidnapped Damian and why? This mystery drives the plot forward. Also, themes of loyalty and betrayal can come into play. Maybe someone close to Damian was involved in the kidnapping, or there are characters who have to choose between different loyalties while trying to save him.
In a 'damian gets kidnapped fanfiction', perhaps Damian is kidnapped because he has some special knowledge or power. The kidnappers could be a secret organization. His friends might start to search for him, and along the way, they discover secrets about Damian they never knew before. They have to overcome various obstacles to find him, like decoding mysterious messages left by the kidnappers.
In some 'damian gets kidnapped fanfiction', the kidnapper could be an otherworldly being. Let's say an alien or a magical creature that has an interest in Damian for some strange reason. It could be that Damian has a unique energy or power that the otherworldly being wants to study or harness. Or perhaps it's a human who has been corrupted by some dark magic or technology and is acting on behalf of a more powerful, hidden force that wants Damian for its own nefarious purposes.
One interesting fanfic could be where Damian Wayne is kidnapped by an old enemy of Batman. The kidnappers might be trying to use Damian as bait to lure Batman into a trap. In this fanfic, we could see Damian using his own skills and wits to try and escape while Batman races against time to find him.
Another place to check is FanFiction.net. It has been around for a long time and has a lot of DC - related fanfics. You might need to dig a bit deeper though, as the search functionality isn't always as precise as AO3. Browse through the DC Comics section and look for stories that involve Damian's kidnapping.
They could be original characters created specifically for this fanfiction. Maybe they are two young lovers in a fictional town, with their own dreams and personalities. Damian could be a kind - hearted but sometimes reckless guy, while Mar might be a more cautious and intelligent girl.
Damian might be a character who has a special connection to a certain legendary Pokemon in fanfiction. For example, he could be on a quest to find and communicate with a legendary Pokemon that is said to hold great power. His journey would be filled with challenges and revelations as he tries to get closer to this Pokemon.
Damian might initially be in shock. He could be frozen for a moment, unable to believe that Tim Drake would sacrifice himself in such a way. Then, he would probably feel a great sense of guilt, knowing that Tim took the bullet for him. He may become extremely protective of Tim during his recovery, and his attitude towards Tim might change from one of rivalry to one of deep respect and gratitude.
Damian Wayne in fanfiction is frequently portrayed as a character in transition. He's evolving from the brash and somewhat arrogant boy he was when he first arrived in Gotham. He's learning about friendship, loyalty, and what it really means to be a hero. His internal struggle between his assassin upbringing and the values of the Bat - family is a common theme, and writers often use this to create interesting character arcs and stories that can be both action - packed and emotionally engaging.