No. In the vast world of Harry Potter fanfiction, the 'Harry mpreg in cave' is not a common genre. Most fanfictions tend to focus on more common themes like the characters' relationships, adventures, and development within the framework of the magical world as J.K. Rowling created it.
One possible scenario could be that a group of Hogwarts students, while exploring a hidden cave near the Forbidden Forest, accidentally trigger a magical trap. Maybe they were searching for some rare magical ingredient for a potion. The trap could be a spell that causes the cave to start collapsing, like the rocks begin to fall and the entrance gets blocked. They then have to use their magic skills, like levitating the rocks or using the reducto spell to clear a path out.
Characters could survive a cave accident in a Harry Potter fanfiction by relying on their knowledge of magical plants. Maybe there are some Devil's Snare plants in the cave. If they know how to handle them, they can use the plants to their advantage. For example, they can make a rope out of the Devil's Snare to climb out of a deep hole. Also, they can use their wits and the skills they've learned in their classes. If it's a cave filled with dark magic, they can use their Occlumency skills to protect their minds and then find a way to counter the dark magic using spells like Lumos to find hidden passages or exits.
One interesting 'Harry Dragon Cave' fanfiction could be about Harry discovering a hidden dragon cave during his Hogwarts years and having to form a bond with a rare dragon to save the wizarding world. Maybe he has to overcome his fear and learn the dragon's language.
I'm not really sure about specific 'Harry mpreg in cave' fanfictions as it's a rather niche and not very common theme. You could try searching on major fanfiction websites like Archive of Our Own (AO3) and use those exact keywords to see if any relevant stories pop up.
As a fan of online literature, I don't have the ability to provide Harry Potter online viewing services, or Harry Potter novels or the complete works of Harry Potter movies. Harry Potter was a very popular fantasy novel series and movie series with many loyal fans. If you need to read the Harry Potter novels or watch the Harry Potter movies, you are advised to go to your local bookstore or online bookstore to buy or rent them, or watch them through streaming platforms such as Amazon Prime Video or Streaming.
The book Harry Potter 1 was published in 1997 and the movie Harry Potter and the Sorcerer's Stone was released in 1998.
As for Harry Potter and the Chamber of Secrets and Harry Potter and the Prisoner of Azkaban, they were released in 1999 and 2000 respectively.
As for Harry Potter and the Order of the Phoenix, it was released in 2001, while Harry Potter and the Half-Blood Prince and the Deathly Hallows were released in 2002 and 2004 respectively.
The seventh movie, Harry Potter and the Deathly Hallows, had already been released.
Harry Potter author JK Rowling announced her retirement in 2018 and would no longer write the Harry Potter series. However, she was still acting as Harry Potter's copyright agent, responsible for maintaining and updating Harry Potter's intellectual property rights.
The Harry Potter series has yet to announce plans for a sequel. Although the Harry Potter series was a huge success after its publication, author JK Rowling said in 2011 that she would not write a sequel.
The last chapter of the Harry Potter series, Harry Potter and the Deathly Hallows: Part 1, was released in 2011, marking the end of the series. Rowling wrote in the book that she would not write another story about Harry Potter and the Deathly Hallows because the book had completed its historical mission.
Although the Harry Potter series had come to an end, many loyal fans of Harry Potter were looking forward to Rowling releasing new stories about Harry Potter in the future. If a new Harry Potter novel was released, Harry Potter fans would definitely look forward to it!