Well, the easy answer is, no. In fact it's quite likely that the biggest ones have occurred sometime other than when we can see them. The ones we've observed visually and that were recorded only go back about 2000 years, so we have only seen those that occurred during 2000 years, plus the light time distance for the event. (In other words, if it occurred 2.1 million light years away, we only would have seen the ones that occurred between 2,100,000 and 2,102,000 years ago). We can see even fainter ones with telescopes, but that period has only lasted 400 years for the most primitive optical telescopes, and about 50 years or so for those that can only be observed in other parts of the electromagnetic spectrum.