You can simply edit your emails to some random word@ (email provider .com, e.g
deletemyaccount@gmail.com). Do the same thing to your password, change it some some random words you can't recall then logout and your account becomes in accessable probably forever unless if there was a security breach then your account information get retrieve somehow by hacker although that's unlikely to happen.
Like others have indicated, accounts don't delete unless admin since a need to and in your case, don't think you have a fair chance of getting that to happen.