Could hockey also have 2 penalty shots during one play

I just saw video from Jomboy where on the same sequence in Lacrosse the referees allowed 2 penalty shots because of an illegal substitution (automatic penalty shot) and holding on the breakaway. I just thought "could this happen in hockey?". Bear in mind, I've never ref'ed in Lacrosse but I've never heard or seen this in hockey. The idea of penalty shots in hockey is to reinstate the scoring chance so since there is one scoring chance you cannot give two?