Can the player choose a different player as a target?
I couldn't find any rules that back up this specific situation but this is my interpretation. The trigger for the LAW states:


  When a player chooses a Strategy Card...


So if someone were to play an action card which forces that player to put their current strategy card back and choose a different strategy card, the LAW would trigger again allowing the player to choose the same person to give the strategy card to or a different person.