In Uno, can you play a Reverse card on a Draw 4 card and make that player draw 4 cards instead?
You can't

According to the uno rules a draw 2 means:


  Draw Two – When a person places this card, the next player will have to pick up two cards and forfeit his/her turn. 


Meaning you don't have a chance to play the reverse card and let the other person draw the cards