No, Wish is not a Disney origin story. It might draw inspiration from various sources, but it doesn't have the characteristics of a typical Disney-originated narrative.
Wish is not the origin of Disney. Disney's roots are deep and involve numerous beloved characters and narratives that have been part of its legacy for years. Wish is a new installment, but it doesn't hold the position of being the starting point.
Once upon a time, there was a poor fisherman. One day, he caught a magical fish. The fish said it could grant him three wishes. For his first wish, he asked for a small, warm house for his family. Second, he wished for his children to have good health. For the third wish, he wished for enough food to last through the winter. And so, the fisherman and his family lived happily ever after.
I don't know as I haven't read the story. It could have a main character like a child named Tommy who has a big Christmas wish. There might also be his parents, who are trying to make Christmas special for him.