While this hasn't ever happened to me in 35 years of driving and working on my own cars... I suppose it could. And I carry a spare lugnut just because.

What I HAVE seen that might be of interest is that the little decorative chrome caps on the lug nuts of many vehicles (Jeep Cherokees in my case) come off leaving a different sized nut. Having a deep well socket and breaker bar to handle not only the chrome cap sized lugnut but the steel one underneath could be important. Your standard tire changing wrench won't work on the exposed nut.

A real socket and breaker bar would have saved my friend's ordeal and subsequent chewed hose story since the root cause was that the dealership had overtorqued the lugnuts to the aluminum wheel so hard that his tire changing lug wrench split instead of budging the lugnut.