A It is not possible to give a definite answer to that question without examining your nose, and more details about the previous injury,
But is seems - "Yes".
If the septum is straight, "simple" lateral and medial osteotomies around the "bump" can be used, and the bump pushed inwards, or perhaps the bump can just be rasped down (with a metal rasp, diamond rasp, power rasp, or Piezo rasp) - depending on the surgeon's preference.
(What you call "re-breaking the nose" is done with bony cuts called "osteotomies")
This bump might be very suitable to "stab" osteotomies, like "postage stamp perforations.