No, no it's not. Several states enacted legislation abridging 1A rights while driving. There were no studies that banning texting while driving would actually reduce traffic accidents. There was evidence that texting while driving did contribute to traffic accidents of course, but nothing proving banning same would lead to fewer. Because there were no bans.
I would imagine there are no studies showing a nationwide education program- in high school for example- covering the basic firearm safety rules from every gun is loaded, don't point it at anything you aren't wiling to destroy, etc. would educate the coming generations and prevent any(but obviously not all) accidental discharges- however logic certainly suggests it would prevent some.