No. The Quran contains no verse commanding the killing of children or women. Fighting is limited to those who fight you (2:190), with classical interpretation and prophetic tradition forbidding harm to non-combatants.
Yes. The Bible contains such commands, including 1 Samuel 15:3 (kill Amalekite men, women, children and infants), Deuteronomy 20:16-17 (leave nothing that breathes alive in certain cities), and Numbers 31:17.