Depends on what "that good" is.
If you want to seriously improve at chess, you do need to be willing to commit many hours of your time to studying and playing the game. You need to be playing tournaments most weekends and studying or practicing when you're not playing. Do that for a long time, and maybe you can eventually be "that good". But you have to be willing to work hard. If you're not, then you can just play the game for fun, but know that as you get older it gets harder to improve.
I think I can't say 'obssessed' but rather I can use the word, passionate or driven.
Nevertheless, Can an individual be 'that good' in chess without being obssessed in chess?