Opinion on an idea to save player data without registration.

I have an idea for saving user data without the need for registration. what do you say?

1. I create a number by date and time plus a random number to avoid the same number for each user.

2. I keep the number as a high score in Google play service.

3. I use this number as an ID for Firebase and save all the data on Firebase.

4. I save and load information by this ID from Firebase.

what do you say? Can it work?