I’ve seen plenty of sci-fi that leads me to believe that the future of this is some sort of finger print reader on the trigger that only allows the designated shooter to shoot.

What if your adversaries have the same problem?

Also, we put our lives in the hands of tech all the time.

Yes, those too. Perhaps allow guns to work only in the owner's home or around it.

Do you have a broom? Congrats, you have just established a reach advantage.