No. Unless you are a first time premium member, who bought the membership in the last 30 days, you don't get a refund.
Why close your account?
If you close your account, you have to write to support@chess.com to reopen it. I don't know what happens to friends and clubs.
I have 3 questions, (also, I'm not sure if I put this in the right topic)
Do you get a refund if you close your account?
Do you contact chess.com member support if you would like to open it back up?
And when you open it back up, is everything gonna be the exact same? You're in the same clubs, friends, or do they reset everything?
(Please excuse any typos, I'm tying on a phone)