Yes. When an Admin enrolls someone, they create an Account with that person's information. Also, when someone enrolls from your enrollment link, they create an Account.
It is possible to create an Account WITHOUT enrolling someone. Learn how to do that here.
You can enroll someone with very little information. All you need is the following:
Account Holder's first and last name
Account Holder's email address
Enrollee's first and last name
After creating an Account, you can always add more (phone numbers, addresses, etc.). The Account Holder can also add or edit their own Account information in the Enrollsy app.