No, the Backup Wallet option only copies your wallet.dat file, not the blockchain state, which cannot be safely copied while Bitcoin Core is running. I think achow101 misunderstood the question.
Right, now that I re-read it, I see he wants to backup the entire datadir essentially, not the wallet.
So in that case, nothing can be done except to shut it down and backup. However he should not really be doing this as this as the blockchain data does not get deleted unless you prune or manually delete it, and the databases usually don't get corrupted, and if they do, it usually means that something else is broken (e.g. hard drive failure).