is 600 elo good if I don’t study?


It is good that you are climbing without study's especially by reviewing your games. But study can take many forms and can be quite enjoyable. Playing over master games from the database slowly and thoughtfully is very instructive. A good book such as "Logical Chess Move by Move" is invaluable and entertaining. Picking a favorite opening and exploring it will bring confidence. And don't forget all the great YouTubers!
You don't have to study to have fun in chess. Personally I just play for fun, occasionally watch some Gotham chess videos here and there but no serious studying.
But I am 550 so can I really talk about this
You can learn quite a bit by playing through the games of the great masters. Is this study? Or fun? Play over the world championship matches or the famous tournaments. Even without “studying,” you will learn a lot. And when you see that your playing strength increases and that you win more games, you will have even more fun.

