Can I use my old ETH private key to get forked ETC?

I’ve got an old ETH private key wallet that used to have a few ETH in it. I moved the ETH out of it a year or so ago.

Am I eligible for any forked bounty? I did something similar with BTC when it forked to Bitcoin cash BCH. I ended up getting the equivalent of BCH at the time of the fork.

Is there anything similar for Ethereum?