You can delete your own posts (provided that no one has replied after you), but only in certain boards. If you look at the bottom, there's a little list of what you can and cannot do.
This board says that you can delete your own posts, as does Members Only, General Autism, Getting to Know Each Other, News and Current Events, Off the Wall, Parents Discussion, Love and Dating, Friendship, School, Work, Art, Television, Computers, Games, PPR, Adult, Women, In-Depth, Adolescent, Kids', Stats, and Español, Nederlands, Deutsch, Français.
Posts in random and the Haven cannot be deleted.
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"Nothing worth having is easy."
Three years!