Using a Custom Registration Workflow

We would like to apply social login on our custom registration workflow. We are running a private webportal, so we cannot give out accounts just to anyone. Right now it’s like this:

1. Users will have to fill in their information
2. An email gets sent to the webportal admin and verifies this info
3. An account gets created and a temporary password is sent to the user
4. During their first login, they are asked to change their password
5. An email gets sent and user must click a validation link for changes to apply
6. User will now have full access to the portal

What we want to add as an alternate workflow:

1. Log-in / Sign-in via Social authentication
2. An account gets created during their first log-in, but they will not have full access to the portal
3. They will get redirected to a form to fill up their details
4. After filling up the details, an email is sent to webportal admin and validates the information
4.a. If the user already has a portal account, the social account gets linked to the portal account
5. The account become verified and the user is informed that they now have full portal access

Is this possible with the WordPress Social Login plugin?

https://wordpress.org/plugins/wordpress-social-login/