Could you write a short story, where essentially there was no plot, but just...

[VegetarianFlautist]

...someone's "musings"? I'm thinking an old woman, sitting by a river, thinking about things. Perhaps I would then have flashbacks, to her younger self, by the same river (but still most of the time sitting thinking...)Would it be acceptable as a short story? Or would I really have to have something happening to this old woman??