I am not sure how you are defining “accidents.” My dictionary says that an accident is “an unforeseen and unplanned event or circumstance.” When Adam and Eve lived in a perfect world, they did not know the future; they did not know what good things were going to happen next. There were unforeseen and unplanned events or circumstances, but there was nothing bad about them.
That brings us to another definition of “accident” – “an unfortunate event resulting especially from carelessness or ignorance.” The dictionary then supplements that definition with examples of accidents dealing with pain or loss of some kind.
Those kinds of accidents did not exist in Adam and Eve’s perfect world, nor will they be a part of ours. In the new heaven and new earth that will be our eternal home, the Bible says that “There will be no more death or mourning or crying or pain” (Revelation 21:4).
That perfect existence is not “unforeseen or unplanned.” It is God’s will for his children.