When I take a golden opportunity, its to make a GM move, as hard as I like, against who I like, or against no-one in particular. There is no 'rule' on this. Your moves are your tools to stick to the agenda and instigate your principles.
So yeah, if you feel that the best move is to separate them, or take away the resources, or deal damage, or put them in a spot, or show a downside to the class/race/gear of the aided party, then by all means do so. Then turn to the other player and ask 'So what do you do?'