I'm not sure if there is such specific fanfiction available. Fanfiction can cover a wide range of themes and relationships within the 'Lost' universe, but this particular one might be a bit hard to find or might not be widely shared due to its rather explicit nature.
I think it's a rather controversial idea. 'Lost' is a complex show with many themes and relationships. While some fans might be interested in exploring a more romantic or sexual relationship between Jack and Kate in fanfiction, it might deviate from the original essence of the show.
In this fanfiction, perhaps Kate initially hides her pregnancy from Jack because she's afraid of how he'll react. But as time goes on, she starts to show signs that are hard to conceal. Jack finally figures it out when he catches her having a bout of morning sickness. He is initially shocked but then becomes very protective. They then have to face the reactions of the other survivors, some of whom are supportive while others are worried about the added burden.
The plot could be that Kate's pregnancy is a result of a moment of hope and love they shared on the island. Jack is determined to keep her and the baby safe. He uses his medical skills to monitor Kate's health closely. The other survivors see this as a sign of new life and hope for their community on the island. However, there are also those who are jealous or worried that the baby will draw unwanted attention from the island's mysteries.
It's completely unacceptable. They are real people with important public roles. Fanfiction should be limited to fictional characters or at least be written in a way that respects the real - life counterparts. This kind of inappropriate writing violates basic ethics.
Redemption is also a theme that pops up in Jack and Kate fanfiction. Maybe one of them has made mistakes in the past and they are on a journey to make up for it. Family is another theme that can be seen. It could be about building a family together or dealing with family issues from their past. And of course, friendship is there, as their relationship often has elements of deep friendship that can be further explored in fanfiction.
No. Writing about sexual content in fanfiction is not appropriate as it goes against ethical and moral standards, and may also violate the terms of use of many platforms.
One aspect of such fanfiction could be the relationship dynamic between Kate and Sawyer changing. They may become more protective of each other and start planning for a future together off the island. Their pregnancy could also be a source of hope for other survivors, symbolizing new life in a desolate situation.
One idea could be that they meet in a beautiful, secluded place like a beach at sunset. They start with a deep conversation about their feelings for each other, and then gradually the passion builds as they hold hands and look into each other's eyes. Finally, they share a tender moment of love.