Yes you can fill out without having prior rental history. What can you do if you have no rental history and your landlord still checks your credit when you apply for an apartment?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. Negative rental history, eviction, or outstanding monies owed to a previous landlord are unacceptable. Rental History must be verifiable from unbiased sources. A rental application is a form that landlords and property managers use to request detailed information from potential renters.