According to Osho, yes—a truly peaceful person can feel anger, but never for personal hurt. His anger has no private cause; it arises from compassion for others’ suffering and becomes energy for creative action. Peace must be living and active; joined with steadiness of mind, such anger fuels constructive revolution rather than destructive rage. Thus, peace and revolution meet in a single integrated person.
A calm person may still get mad, but only to help others and fix unfairness, not because their own ego is hurt.