No, that's just other parts of Zimbra complaining it can't get to MySQL. One thing that may be helpful is to stop Zimbra entirely and try to just start MySQL.
then
Code:
/opt/zimbra/bin/mysql.server start
That may spit something out to the screen, but I'd also tail mailbox.log while it's trying to start. If it's a problem that's occurring after MySQL start, that script may finish and say all is well when it's really not.