In almost all cases of rhinoplasty you can avoid packing the nose, which translates into a much more comfortable recovery for the patient. I have not 'packed' the nose in over 7 years now. In the past, this was done commonly to help minimize chances of bleeding the early recovery phase and to help encourage the internal lining of the nose to heal quicker. In most cases of septoplasty and rhinoplasty, an absorbable suture can be used inside of the nose to accomplish the same goal - obviating the need for packing.
As with any rule though, there are those exceptions. If the surgeon encounters bleeding unresponsive to normal techniques, it needs to be controlled with placement of packing. Fortunately, this is quite rare.