Technically yes, you can. But most likely someone with a degree or military background will score higher and will DQ you. You don’t want to work for SSA these days. Excessive work. Not enough training and very micromanaged.

@David Diaz According to the SSI Adminstration website SSA is eager to hire hard-working, resourceful, well-qualified people. Most positions require a college degree or 3 years of progressively responsible experience or a combination of both. The "How to Apply" section of this site provides information for applicants.

I have also learned that even if a company asks for you to have a specific degree, they will hire the right canidate with or without a degree. Sell yourself!

You got this! Good luck!