(Edit: see child comment -- I was responding to something other than what was intended. I'm leaving this here for clarity, but you can ignore it.)

No, not really. Hashing functions aren't designed for passwords, they're mainly used for integrity checks and other uses which need to be fast: why do you think one of the axes the SHA-3 hashes are competing on is speed?

You have your 10gb file and want to send it to your coworker and let him know it's really yours and no one has messed with it. So you run an HMAC over it and then sign it with your private key.

You want it to be as fast as possible. It would be optimal if there was a single x86 instruction called sha4 which did this in the time it takes to do an add.

Hashing is really, really not meant for passwords.