Unfortunately, there is no way to delete an account. If you have not purchased anything on your account though, you may clear your information from your Account settings / Clear and start over and allow the account to go dormant. When you clear and start over, it WILL save your personal information, just not your tax information.
Here is an article to walk you through the steps of clearing and starting over, if applicable...
https://ttlc.intuit.com/replies/4248526