Well, the usual name for someone who writes stories is an 'author'. Authors come up with all kinds of tales and share them with the world through their writing.
A person who writes stories is typically called an 'author' or a 'writer'.
Such a person is typically called a short story writer.
A person who writes short stories is typically called a short story writer.
A person who writes stories is commonly called a 'writer' or an 'author'.
A person who writes short stories is usually called a short story writer.
A person who writes stories is commonly called an author or a writer.
A person who writes stories is called a storyteller or an author.
A person who writes fiction is usually called a fiction writer.
Such a person is often referred to as a memoirist. They focus on recounting their own or someone else's life experiences in detail.
They are usually very imaginative. They can create entire worlds in their minds and then put them down on paper. For example, Tolkien created Middle - earth for his 'Lord of the Rings' series.