Are these narcissistic traits?

I was talking to a guy for a while and I noticed some of the things he would say seemed weird. He would say he is better than everyone else, that he knows a lot about everything. He called his own parents and friend stupid. He lacked empathy, for example, if we were in a situation, he would tell me to get up for an old lady or pregnant lady on a bus and could care less about them. He thought his opinion was right a lot of the time. If I disagreed with his thinking he would say you’re a retard. He said if I was in a relationship with him and cheated on him, he told me he would shoot me. Are these signs of narcissism?