is there archaeological evidence of the walls supernaturally falling at Jericho?
Yes. In 1990, Bryant G. Wood found strong walls, large quantities of grain (meaning a short siege), and no plundering (since the grain was still there). John Garstang was the one who first found abundant carbonized grain. Hard Sayings of the Bible p.182-183 mentions some evidence for an earthquake of magnitude 8 on the Richter scale, which could have left cracks in the walls. The inner mud-brick walls collapsed over the outer stone wall, forming a convenient ramp. -convenient for the Israelites, that is. When did this capture take place? Ceramic pottery from Cyprus indicates a date between 1450 to 1400 B.C. Egyptian amulets, inscribed with the name of the current Pharaoh, up to Joshuas time. Carbon-14 dating sets the destruction at 1410 B.C. +/- 40 years. In addition to Hard Sayings of the Bible p.182-183, information from this answer was taken from When Critics Ask p.136-137 and Encyclopedia of Bible Difficulties p.156-157. The first two refer to the paper by Bryant G. Wood in Biblica
