What are ways to get approved with no rental history? 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. Once an application is approved I will offer a rental agreement or schedule a showing if they haven't already seen the property. 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. You can see the online application for a rental property license here.