Yes you can fill out without having prior rental history. What are ways to get approved with no rental history?As a general rule, a tenant's previous landlord is not required to provide the tenant's prospective future landlord with a reference. It is possible to submit an application without having rented in the past. On the Residence History step, enter your current address, and set dates. If you have untraditional rental history such as living with family explain this on your application. Arizona law requires residential rental owners to register their property with the County Assessor in the county where the property is located.