Assuming fat tailed/heavy tail distribution, generally speaking, it can. Depends what we’re looking at. And What we define as black swan etc. sometimes a black swan event is when everyone is predicting a tail event to happen and pricing it as if it will, and none does.
I’d like to add a side point just for sake of spreading more knowledge with respect to black swans. Black swan is subjective, not objective
A turkey slaughtered on thanksgiving; it’s a black swan event to the turkey... but not a black swan event to the butcher
The turkey can look at its past data and assume tomorrow will be no different than the last 1,000 until alas, it’s on a thanksgiving dinner table
Edit: fun fact: not every tail event is a black swan event. COVID19 is not a black swan event. We knew and have known that epidemics have happened and can happen again. Therefore, it’s not something to be deemed a black swan. It certainly is a tail event.
Edit2: If you have a payoff space, and you cut the left tail off via defining your risk. You can expose yourself only to “positive” blank swans. So you benefit from such events. In this case, if we look at the underlying (let’s call it “x”), it can exhibit heavy tailed properties (left and right) but in our payoff space, via defining our risk, we can eliminate the downside effect of a tail event or black swan event by capping losses and taking it a step further by being long vol so we actually benefit from such surprises