No. Owning a firearm is a right, driving is not. The state can set licensing requirements to operate a car but not to own a firearm. What is this firearms license you speak of? It doesn’t exist in my state.
I perhaps should have indicated the training in the use of firearms as a certification for fitness, and not as a license. Not all people will absorb the principles of gun usage equally well, and those who fail the minimum criteria for gun ownership or use should properly be limited in the right to acquire or use said sidearm.
With rights come responsibility. And responsible behavior is what is lacking here.
Universal Military Training, for both males and females, would be perhaps more fitting. Much like the program in Switzerland, except extended to BOTH genders.