Hello and welcome to CF.
You can't delete your own account. Mods can delete and sometimes do if someone joins just to spam or otherwise breaks particular rules.
You can request to be banned if you want to no longer have access (I guess if you can't control yourself?). And you can edit all your own posts - as far as I know the edit option never goes away (I know some sites allow editing only within various windows) - so you CAN delete your content.
But no there is no option to delete your own account and the general rule is that CF won't do it.