Yes, he might. If Dr John is into Japanese pop culture or is a fan of modern literature, there's a good chance he has a light novel. Light novels are quite popular these days.
One great 'dr house fanfic' to start with could be 'The New Diagnosis'. It has an interesting plot that stays true to the characters' personalities from the original show. The writing style is engaging and it sets up the story well, introducing new medical mysteries in the House-esque way.
Given that we have no idea what exactly is in this story, it could go either way. If it's a story that uses sexual themes in a tasteful and relevant way within a larger narrative about the character Dr. House, it could potentially be considered appropriate. But if it's just a gratuitous use of sexual content, then it's likely not appropriate. Without more information, we can't be sure.
The first story might be about a patient with a mysterious illness that Dr House has to diagnose through his unorthodox methods. The second could be a case where the patient's symptoms are misdiagnosed initially but House discovers the truth in the end. And the third story might involve a complex medical situation where the patient has multiple comorbidities and House has to navigate through various medical specialties to find a solution.
One of the sad stories in Dr House could be about patients who have rare and incurable diseases. They come to House with hope, but he often has to break the bad news to them. For example, there was a young patient with a genetic disorder that was slowly deteriorating their body and mind. House tried all possible treatments, but in the end, the patient passed away, leaving their family and friends in deep grief.