Not exactly. Origins of oohrah are debatable, if they fire up the boys, great. Your version might just get your head stomped into a pile of oohrah. 50-60s version from what I could glean from Marines of that era was 'Semper Fi, mac'. Claims no oohrah from Korean war.
I thought it probably came from rah-rah. I was surprised to find the first organized varsity cheer actually contained the words hoo-rah hoo-rah. Just kiddin’ about the devil dongs. You’re right I probably wouldda got beat up.