Well I think of course you can do it with firebase. And you could also do it without firebase by using save and load events in your game. But those will only save on the machine. This post has some links to example projects using save and load events, links to videos, questions and explanations, and example code snippets for you to study.
[Solved] How do i save game progress? - How do I…? - GDevelop Forum
I did search a little for firebase stuff to recommend to you but didn’t see anything that seemed relevant. Probably wouldn’t hurt for you to check out the firebase example
Firebase example - a game example from the GDevelop game making app | GDevelop
And you can adapt what you learn to your own needs.