No. However you can edit your question. Look at the top of the question page. Edit it with all blank spaces. If there are answers they will remain. You might want to tell JA which ones you would like removed. I don't know if she ever does this or not.
Our tenured members remember the old site where you could not delete your own content. Now, you can. The delete button is above the question or to the right of the blog. You can delete your own comments too.
I just made an FAQ for it: http://answermug.com/faq/view/52/14/25/0/how-do-i-delete-my-blog-or-question