Yes. Since you control the private keys on a blockchain.info wallet, you can extract the private keys and import them into a Bcash-compatible wallet. One such wallet is Bitcoin ABC (bitcoinabc.org/). There is another that was called Electrum Cash, but I think they may have changed the name, since they were infringing on Electrum's trademark.
The network is still quite slow, since difficulty hasn't adjusted and the hash rate is comparatively low vs. the original chain.
With the the private keys you mean the recovery phrase of 12 words ? or you're reffering to something else ?
He is talking about the private key of each address that may contain any coins.
You can do a few "hacks" to get the private keys of your address on Blockchain.
What is a Bitcoin private key:
https://en.bitcoin.it/wiki/Private_keyThe following method[1] allows you to export your private keys direct from the address you are looking for on your Blockchain wallet.
Or if you don't understand, this guy wrote the same guide with other words in this[2] thread.
[1]
https://docs.google.com/document/d/1-2l6xOqcbjs9QWEqSh72RD1d8EEdvG_hQuEXw_f_o6w[2]
https://bitcointalk.org/index.php?topic=2063572.02- Which BCC compatible wallets are avilable ? or there is none available yet ?
http://www.electroncash.org/Electron Wallet | Light wallet, that doesn't require you to download the whole blockchain.
https://www.bitcoinabc.org/BitcoinABC | Full node. Will download the whole blockchain, may take some time and require space on your HD.