Sure. Although 'amazo' is a rather unique character in the DC universe. Writers might create stories where Batgirl has to deal with Amazo's abilities in a battle or a mystery - solving scenario. Look for fanfictions that are marked as 'general' or 'teen' rated to avoid any inappropriate content and still enjoy stories about these two characters.
There could be. Some fanfiction writers might be interested in exploring the dynamic between Batgirl and Amazo from a story - driven perspective, like how they would team up or oppose each other in different situations that don't involve adult themes. Check out some of the well - known superhero fanfiction communities for such works.