I have read that the Aztecs and Incas did not use the wheel because they did not have any animals that would be able to pull a carts. Were there any civilizations in the Americas that ever used the wheel as a method of transport?
Yes, but not for carts. Instead Mesoamericans made fantastic ceramic toys, mainly dogs, on wheels. Spindle whorls were used throughout South and North America for twisting yarn. The Nazca culture of Peru created rotating discs for painting ceramics in the round (not pottery wheels) that have been in use ever since.