yeah but despite elsa being kind of snooty and cols its still very clear how much she loves and cares for anna. She begins to apologize after pushing her away, and its clear that although she’s exasperated by her sisters antics (throwing clothes around, wearing her shoes) she still finds them endearing.
but at one point, elsa was touching her shoulders in front of the mirror. so there would have been at least some physical contact. i think anna was just happy with whatever she could get.