Is it normal not to feel anything when someone is suffering?

Hello doctor,

I am a 27-year-old female. I cry and empathize with a character in a movie, but I cannot project these feelings in real life. I do not feel anything when someone is suffering and crying next to me unless he is a very close person, and not all the time. I met a guy who fit my idea of how a man should be and lost my head for a week, then started looking for defaults in his image, pushed him away and made him feel wrong about everything after a while. I suffered for one day or two and try my best not to contact him again. Then it all goes away. It is like I have never felt anything. I do not know how to explain why I need to hurt him. I am overly possessive, and I need to control everything. I am jealous, and I have low self-esteem. Sometimes, I cannot care about things people usually care about. A dead relative, an accident, my mother, family, their problems and struggles, beaten animals, and bloody pictures. I always thought this was ordinary people's feelings and never questioned myself too much about it. Is it normal not to feel things?

Thanks.