No. We initially allowed the sharing of email addresses so for example a couple could use the one email address for multiple accounts but this caused problems with the system. It is now required that only unique email addresses should be used for each user account.
If you do not have an email address then it is recommended to obtain a free email account such as Gmail or Hotmail.
Most Internet Service Providers (ISP) provide additional email addresses so you should be able to contact your ISP and ask for an additional email address. It may be then possible to auto forward all emails to your main ISP account.