Is it normal to have no remorse?

I have no sympathy towards pretty much everyone I've ever come in contact with. It's just the way I am. I've been like this my entire life, I can't help it. Ive tried so many times to feel something, I just can't.
A while ago my cousin passed away tragically, we grew up together. I didn't shed a tear, didn't even feel anything.
I had an argument over a false accusation with a man I love n respect like a father. During our lil spat, i wished him death in my head. Two days later, he did just that. I still to this day didn't shed a tear or have any remorse.
There's so much more I can tell you, it's just too much. Is anyone else like this?
It's everything. Things that the world would feel for. I have no patience for anyone. I dont know if this is normal. I also doubt I will be forgiven .
The worse of it all, I honestly don't give a fuck either.