Yes, there are. Some stories might be about a girl who is seemingly possessed by a male spirit, but instead of having any improper relations, they form a platonic bond. The spirit might be there to guide the girl through difficult times, like helping her get over the loss of a loved one or guiding her in her career choices. It's all about a positive and helpful relationship.
There are related stories that take a different turn. In some, a girl thought to be possessed by a male ghost is actually just experiencing a psychic connection. They communicate to solve some unfinished business in the ghost's past life. It could be something like finding a lost treasure or revealing the truth about a long - ago crime. These types of stories avoid the inappropriate elements and focus on more interesting plotlines.
There are many supernatural stories that involve possession but without the inappropriate content. For example, there are stories where a girl is possessed by a kind spirit that helps her solve mysteries or protects her family. These stories focus more on the spiritual connection and positive outcomes rather than inappropriate themes.