It does, yes. The majority of firearm deaths in the US are suicides, and the majority of suicides are committed with a firearm. The suicide rate is several times higher among men who own guns or regularly handle guns than it is among men who do not. It's clear that gun ownership has a high propensity to convert a survivable mental health crisis into a suicide. A US adult (but especially a man) who owns a gun is far more likely over their lifetime to use the gun on themself than they are to use it to defend themself.

Yes, I suppose it necessarily does, although I was referring more to the chance that in a struggle (perhaps an attempted robbery) your gun accidentally or intentionally discharges.