With or without a story, it really depends on what kind of photos you take. It could tell a story or simply record a scene, object, etc that grabs your attention. Meaning is subjective. What's meaningful to you might not be appreciated by others.
Back to the photo. I find the overall composition too cluttered, especially with the complex shadow. Shoot this at another time of the day, it could well be a simpler minimalist piece. I happened to take somthing similar last weekend, which explains what I said graphically. http://farm3.static.flickr.com/2286/2061590675_7d7847a060.jpg