Yes. Simply put, the most important qualifier is income. Generally, applicants must make less than 50% of the Area Median Income (AMI) for that area to qualify. Having no income at all falls under that category.
Also, there are many factors that determine your income, which include welfare and Social Security benefits. So, even if you don't receive a paycheck from a job, you may still receive income that is applicable for affordable housing program. Please view this HUD document
that explains what specific sources of income are included and excluded when declaring your income on an application.
You can search our website for your area of interest here
, and scroll down to the AMI chart for that area. However, please confirm income qualifications with the housing authority or apartment community you are interested in applying through, as affordable housing offices set their own income limits.