The answer to your question is yes, but it depends quite a bit on the property manager and his/her criteria in granting an approval. Some of look at the whole package: income, credit, previous rental history, employment and criminal history. However, some are completely caught up in a credit score. Your best option is to call the property manager ahead of time and ask. Offering ot pay a higher deposit will also help. If you have any questions feel free to call or email me at email@example.com or (210) 843-4739.