Absolutely. I cannot speak for all INTJ's but deep down I can be very sensitive and insecure. The world has wounded my sensitivity and my idealism so I have developed armor, some call it cynicism and sarcasm. Especially when I was younger I was very insecure. This insecurity drove my need to increase my knowledge and skills and, to a lesser extent, it still does today. IRL only my wife and my son see my sensitivity, and a few very close friends. Oddly enough they are the only ones who can actually hurt my feelings because they are inside my "armor".
I have wondered if all, or many, INTJ's have been betrayed or emotionally abused in their youth, which has led us to how interact with the world. In the spirit of sharing, I was hurt by my older half-sister when I was 8. She tried to kidnap me in order to hurt my parents. I don't know why, I've never been able to figure it out. And I was the target of a persistent bully for three years during middle school. I'm probably projecting, and I am sorry if I am. It has just been a thought that I've had, and I have no evidence save my own anecdotal story.