Most likely not. 'Girl in the Closet' is probably a work of fiction. Stories like this are often made up to engage and captivate the audience rather than being based on true happenings.
We don't have enough information from just the title to identify the girl. She could be a young girl from a small town who got into a strange situation in the closet. Or she could be a girl from a big city facing some sort of domestic issue that led her to be in the closet. There are countless possibilities until we actually read the story.
Since we only have the title 'girl in the closet real story', we can't say for sure who the girl is. She could be a victim of a crime, perhaps a child abuse case where she was locked in a closet. Or she could be a girl who found herself in a strange or dangerous situation and the closet was her only hiding place. It might also be a girl involved in a family mystery where the closet plays a key role, but without further details, her identity remains a mystery.