Yes, AutoZone does rent engine hoists. AutoZone is an auto parts store that offers a wide range of services to their customers, including equipment rental. Engine hoists are available for rent at many AutoZone locations across the United States. To rent an engine hoist from AutoZone, simply visit your local store or visit their website to reserve the equipment. Be sure to check the availability of engine hoists in your area and make a reservation in advance to ensure that the equipment is available when you need it.