Sure. Some fanfictions might center around their magical dueling practices at Hogwarts. They could be shown as partners in a dueling club, helping each other improve their spells and defensive magic. This not only showcases their relationship but also their development as wizards within the Hogwarts walls. There are also those that depict them participating in Quidditch - related events, either as players or as supporters, which is a great way to explore their connection without any inappropriate content.
There are indeed. For example, there could be fanfiction about them exploring the secrets of Hogwarts. They might discover a hidden room together and try to figure out the magic behind it. This type of story can be full of mystery and wonder, highlighting their teamwork and the unique aspects of Hogwarts, while keeping their relationship in a sweet and clean light.