Section breaks that indicate a transition between one part of the chapter and another are common in fiction. I'm not sure how screen readers handle that, but considering they are a standard, I would expect that the screen readers are programmed for them.
$1 shows a good example of what a section break in fiction looks like (the second example, after the example of a scene break, which is proper formatting for scripts, not books). It's essentially a blank line, three asterisks centered, and another blank line.