No, there is no way for users to delete or edit their own posts. Admins also do not remove posts per user request. Unless a question violates the guidelines of the site, we won't remove it. This information can also be found in the FAQ: http://www.girlsaskguys.com/faq/posts#61
There is no way to delete a question, unless it violates the rules. If you really want it gone from your profile you can disavow it. By disavowing it, the question turns anonymous, it gets removed from your profile and you will not receive further notifications about it.