Is it possible to manage users without an e-mail address?

I have a significant number of users that refuse to provide an e-mail address as part of their sign-up process but do have mobile phones. Is it possible to build a user using Auth0 that do not include email addresses? Instead, we would verify the users using their mobile phone and SMS messages.

You can do so by creating a passwordless sms connection and authenticating the users with a one-time code sent via sms:
https://auth0.com/docs/connections/passwordless/sms

I’ve seen this, but will this provision new users when they register? Everything I see in Auth0 requires an e-mail address for every user.

How about creating a dummy email addresses for such users? e.g. {user_id}@dummy.example.com