Banning guns? No. Improved gun control? Definitely.
They're simply too accessible, and there's no reason for them to be. People using them for legitimate purposes can still do so with tighter laws surrounding gun acquisition.
Even in Australia, where most people think guns are 'banned', hunters can still buy guns to hunt, sport shooters can still use them for sport. What we don't have over here is looneys who can easily obtain a gun and go on a massacre.