Mobile authorization on Java server without input data

Hello!
How to make authorization using mobile services, without using the input data?
I've seen this, but I've never used it myself.
So I see it: The service (GooglePlay / GameKit) and user id is sent from the application to the Java server . The server checks if these values are in the database. If they do not exist, a new account is created, otherwise authorization occurs.
Is it possible to make authorization in this manner and how to protect accounts from someone else's access to them? Is this method correct or are there other solutions?