A quick trip to dictionary.com yields us this.
So short answer. Yes.
Quote:Rage
–noun
1.angry fury; violent anger.
2.a fit of violent anger.
3.fury or violence of wind, waves, fire, disease, etc.
4.violence of feeling, desire, or appetite: the rage of thirst.
5.a violent desire or passion.
6.ardor; fervor; enthusiasm: poetic rage.
7.the object of widespread enthusiasm, as for being popular or fashionable: Raccoon coats were the rage on campus.
8.Archaic . insanity.
Outrage
–noun
1.an act of wanton cruelty or violence; any gross violation of law or decency.
2.anything that strongly offends, insults, or affronts the feelings.
3.a powerful feeling of resentment or anger aroused by something perceived as an injury, insult, or injustice: Outrage seized the entire nation at the news of the attempted assassination.
So short answer. Yes.
"If an injury must be done to a man, it should be so severe that his vengeance need not be feared" - Niccolo Macchiavelli