Definitely not. Teachers are in a position of authority and respect in an educational setting. Such fanfiction violates basic ethical and moral norms. It can also be considered a form of harassment or inappropriate behavior towards educators.
Fart stories are not very appropriate topics. We should focus more on positive and respectful aspects of teachers, such as their teaching skills, dedication to students, etc.
I'm not sure specifically as it could be some made - up or very niche story. It might be a fictional and comical story created by someone perhaps involving a Nintendo character with a big butt and a fart for comical effect.
No, they are not very common. Teachers are usually in a position of authority and are more likely to maintain a certain level of propriety. However, everyone is human and such unexpected things can happen, but they are not something that occurs frequently in a teaching environment.
I don't really have a specific 'teacher face fart story' on hand. But I can imagine a funny scenario where a teacher was demonstrating some energetic movement in class and accidentally let out a little fart while facing the students, and everyone was trying hard not to laugh out loud.
I don't actually have a specific 'deviantart teacher fart story' on hand. But perhaps it could be a story where a teacher on DeviantArt was in the middle of an art lecture and accidentally let out a fart. The students might have had different reactions, some trying to hold in their laughter while others were completely shocked.
As far as I know, there isn't a widely known 'deviantart teacher fart story' that is famous in the general sense. It's not a common or mainstream type of story associated with DeviantArt.