I'd say resoundingly, yes. It doesn't have to come to the end of the world for bad stuff to happen. Some people, by nature, prey on other people. Having proper mindset, training, and tools at your disposal plays a huge role in how a bad situation turns out for you.
Someone wanting to rob you or cause you harm isn't going to schedule an appointment to do so. Several times in my life, I've found myself in a position to have to make snap decisions. Do I draw my CCW weapon? Do I fire? I've had to draw several times, but never fired. Make no mistake though, once the decision was made to draw, I was 100% ready to use it if the threat didn't dissipate.
One thing I swear by is simple situational awareness. Paying close attention to your surroundings can keep you out of a lot of bad situations. I've never done any research on it, but I'd bet a lot of people you see walking around oblivious with a lot of jewelry, nice car or clothes, staring at their feet or listening to their Ipod - those ore probably the people singled out as easy targets.