Yes, I can agree with that. But was it an accident, or did the first orderly cause bring about our existence the moment it was set into motion?
Discussion
But at this point I think we're wasting time wringing our hands around the category of things that count as "accidents" into a reductionist vortex. You can really do this with anything if you try. The point is, that most of what you think of as your self-directed subjective experience, is a product of things completely beyond your control.
Whether we live in a deterministic or stochastic universe is really completely orthogonal to that point.
So by accident, you simply mean beyond our own individual control?