It could be about a character named Jon hatching dragons in a fan - created fictional story. Maybe it details the process of the hatching, the relationship between Jon and the newly hatched dragons, and the adventures that follow.
You can try looking on fan - fiction websites such as Archive of Our Own or FanFiction.net. They have a large collection of fan - created stories, and there's a good chance you'll find the 'jon hatches dragons fanfic' there.
Well, one possibility could be that Jon Snow discovers some ancient magic in the North. Maybe while exploring a long - forgotten cave, he stumbles upon dragon eggs. His Targaryen blood somehow reacts to the eggs and he manages to hatch them. Then, he has to deal with the power and responsibility that comes with having dragons. He might use them to fight against the White Walkers, as they are a great weapon.
Maybe it's about Jon finding a dragon egg and through some magical or difficult process, he manages to hatch it. He could face challenges like protecting the egg from those who want to use it for evil, and once the dragon is hatched, they form a strong bond and go on adventures together.
It could be a power - hungry wizard who wants the dragon for himself. He might try to steal the egg from Jon before it hatches or take the newly - hatched dragon by force.
Well, in the fanfic, it could be that Jon Snow stumbles upon the dragon egg while on a mission beyond the Wall. He might not even realize what it is at first. But as he holds it, some latent magic within him starts to interact with the egg. As it hatches, the dragon imprints on Jon like in some old legends. The dragon's presence then forces Jon to reevaluate his role in the world. He could use the dragon to fight the White Walkers more effectively, or he might face opposition from the current rulers who fear his new - found power. It could also open up a whole new arc where Jon has to learn how to train and communicate with his dragon.
It would change the power dynamics completely. With dragons, Jon Snow would be a much more formidable force. He could easily overpower his enemies. For example, if he faced Cersei, his dragons would give him an edge. This would also make his claim to the Iron Throne stronger, as he has such a powerful asset.
There could be a wise old wizard who gives Jon advice on how to hatch and take care of the dragon. Maybe there's also a rival of Jon's who is jealous of his discovery and tries to steal the dragon egg.
Well, perhaps Jon finds a dragon egg in a hidden cave. He takes it home and starts to take care of it. As he does, he begins to notice strange markings on the egg that seem to glow at night. Eventually, the egg hatches and out comes a small, cute dragon that he names something like 'Spark'.
It depends on the specific fanfic. There are countless fanfictions out there, and while some may choose to give Jon Snow dragons to enhance his character or create a more fantastical story, others may stick closer to the original lore and not include such a plot element. So, you really have to dig into different fanfics to find out if he has dragons in them.