This video footage is from a scholastic wrestling tournament, and no - you are not allowed to punch your opponent.
This isn't the WWE
. This is real athletic, olympic-style wrestling and there are certain moves and specific maneuvers that one can use to take down and eventually try to pin an opponent. I can promise you, raining down hell-fire punches is not one of them.
"But didn't that kid just get away with an elbow?" It might look that way if you've never wrestled before. But again, you're always trying to gain position in these matches. An accidental elbow slip doesn't equal fists of fury. Hopefully the aggressor was disqualified.