If you actually have the private keys to your bitcoin (ie. you have your bitcoin in bitcoin wallet software on your computer such as in the official client or t

If you actually have the private keys to your bitcoin (ie. you have your bitcoin in bitcoin wallet software on your computer such as in the official client or the electrum client), and you had them at the time of the fork (Aug 1), then yes. If you had your bitcoins held by a 3rd party like an exchange, then it's up to them to decide whether they want to support a fork like bitcoin cash at all and credit it to your account.