Yes, that's what Fragments and Feedback is for.However, please don't post your whole story.
If you could put just the first 13 lines of it (the first manuscript page), that would be okay.
Or you could put a description.
Then ask if anyone is interested in reading it and giving you feedback on it.
That way, we don't tie up the website with stories and you don't use up your electronic rights to the story.