Can I rent out a house even if it's not completely paid off?

[Fernando Villareal]

Hello everyone i'm new to BP!!! I am planning to buy my 1st house in San Antonio, Texas once I get out of the military. My question is if I put a down payment on a house say 20% and it's not completely mine yet. Am I able to rent it out to tenants right away?  Or is that illegal in certain states? Or does it need to be 100% paid off? Thank you to those who reply. Cheers