Not really. It's just these two examples that work out in contrast. Switzerland has a buttload of guns per capita and is one of the safest places in the world. And to use the UK again, it has about as many knives as other countries I'm guessing, but far more knife violence. It's desperation that breeds violence. There's a much stronger correlation between wealth disparity and violence vs weapons and violence.

Now don't get me wrong, gun regulation is sorely needed in the US, but it's not a fix to its violence problem.