Can you change Database Password Hash

[Jarek Millburg]

Within the application If you use a database like MySQL for authentication it 
says that the passwords are salted with a random 32 byte string and then hashed 
with the SHA-256 hash before being stored. I was wondering if it is possible to 
change the hashing method to a different hash? Looking into this for reasons 
related to our current systems and wondering if this is possible.