I certainly see what you mean in your photos. What can be done depends on some of the other features of your nose, which are not shown in the one photo. Asymmetry is one of the more difficult challenges in rhinoplasty. It may not be worth trying to correct in your case, but...
Yes pressure can have an effect but in your case it will be reversible in my opinion. Your skin is good quality as you are young and your nose has thick skin in any case. You cannot alter the shape of the supporting cartilages of the nose with massage, so no harm done.