Well, without knowing more details about this 'Cat', it's hard to say for sure. Some stories labeled as 'Cat' might draw inspiration from real life, while others could be pure imagination.
It's not straightforward to determine if 'Cat' is a real story. Maybe it's a story that combines real elements with fictional ones, or it could be purely fictional. We need more context to know for sure.
It depends on what you mean by 'Cat'. If it's a specific book or movie called 'Cat', then it could be based on real events or be completely fictional.