What are ways to get approved with no rental history? We've crafted this comprehensive guide, covering the entire screening process, from the rental application fee to background checks.Oakland rental property owners are no longer allowed to screen applicants for criminal history, as per Ordinance No. 13581 C.M.S., O.M.C. 8.25. Written screening criteria will help rental property owners attract qualified applicants and quickly identify applicants who do not qualify. Your rental application should start with the basic identifying information. Yes, you can rent an apartment with no rental history. But you're going to have to provide the paperwork that proves you can afford it.