Yes, you can separate your Verizon account. To do so, go to your Verizon account page and click on the “Accounts” tab. Under the “Accounts” tab, you will see a list of all of your accounts. In the “Accounts” list, select the “Verizon” account and click on the “Separate Accounts” button. You will be asked to enter a password for your Verizon account. After you have entered the password, click on the “Separate Accounts” button again and you will be able to create a new Verizon account with a new name and password.