That would be an extremely bad idea tho, because it would allow a malicious attacker to

1. Try random usernames, and if the website returns a hash they know that user exists
2. Once they have the hash, and the hashing algoritm, it is much easier to brute-force the password, bypassing any safeguards on the server

Username/password validation should happen entirely server-side, with as little information as possible provided to the client