Does anything happen by accident in God's plan?
No. Nothing happens by accident in God's plan; all unfolds sovereignly as God has commanded it. Even events surrounding Moses' birth and the midwives' refusal to kill the Hebrew boys were not random but part of God's sovereign working.
Les explains, in the context of Moses' parents hiding him by faith, that nothing happens by accident. He teaches that all is sovereignly unfolding as God has commanded it. Moses' parents saw with spiritual eyes that what God promised He would fulfill, and they saw God's working in the infant. Later, when Pharaoh questioned the midwives for sparing the male babies, they said the Hebrew women were lively and delivered before the midwives arrived. Because the midwives feared God, God dealt well with them; the people multiplied and waxed very mighty, and He made them houses.