No - it isn’t.
People defend themselves against crimes every day without weapons. A weapon makes it easier and I do think people should be allowed to have them to defend themselves, but it’s a different right from that of pure self defence.
I’ve stopped two violent crimes in the last five years without using a weapon. In one case, I had one available, but I didn’t need that level of force to deal with the situation. In the other I wish I had been wearing my sidearm, because that one was much more potentially serious, but I still got the person down and restrained without one.
You may be young and strong now, but you will probably get old. Do you want to be helpless too?