That is not true, actually. Breaking is a product of the physics behind it. Depending on the material to be broken, you are either generating a minimal amount of power (demonstration boards for example), or a whole lot of power.
If you try to break, say, one board with a knife hand strike, and you fail, that energy rebounds back into your hand and up your arm. A knife hand strike can absorb a certain amount of power, so you most likely will not break any bones, unless you are very young.
However, if are trying to break several boards, patio blocks, ice, or bricks, you have to generate a considerable amount of power. If you fail, and that energy rebounds back into your body (and it will), you can easily shatter the hand or foot doing the break because of the physics involved. It would be not unlike ramming you hand or foot into a hard surface at 30 miles per hour. If the boards don't break, your hand will.
Don't get me wrong. I'm not minimizing the possibility of doing considerable damage to yourself in breaking. Because of a badly aligned fist strike to a 3.5" board strike three years ago, I spent six weeks with my hand in an very uncomfortable splint, and a typical 'boxer's fracture', as the OSU sports medicine people I was seeing called it.
But that was a result of my mistake. I'd used the same amount of force on the same size stacks many times before; either the break was successful, as it was most of the time, or it wasn't, but because my fist was aligned correctly, the unsuccessful strikes yielded only bad bruises at worst. I've done a certain amount of hand conditioning, but not enough that I'm unusual in the population; the reason I broke my hand on that one occasion was careless overconfidencedidn't focus on the delivery surface enough, and wound up implicating the knuckle of my little finger in the strike. You can imagine the rest. That's why I stressed that there seemed to me little danger unless you were careless. Careless means, to me, failing to align a strike you know how to do precisely enough, or trying to do a strike prematurely that you haven't worked your way up to.
I've generated at least as much power in the knifehand strikes I've done ever since my hand healed to the point where I could again start breaking (boards, that is). And never have I ever come close to damaging my hand (one of the great things about the knifehand strike, even when the break has failed: the delivery surface is all muscle, no bones), and a bruised hand is the worst I've experiences from that. So I don't think that breaking is dangerous if you take necessary precautionsjust as I don't think sparring is, with the same caveat. If you're careless and you spar, you could wind up not just with a damaged hand, but with a full-scale concussionand that is genuinely dangerous....