HIPPA applies to medical records only, not your SSN. To verify eligibility most governmental agencies require your SSN, which also verifies your identity.
DISCLAIMER: David J. McCormick is licensed to practice law in the State of Wisconsin and this answer is being provided for informational purposes only because the laws of your jurisdiction may differ. This answer based on general legal principles and is not intended for the purpose of providing specific legal advice or opinions. Under no circumstances does this answer constitute the establishment of an attorney-client relationship.
HIPAA, the act is actually HIPAA not HIPPA, everyone makes that mistake probably because we are used to Hippos in the zoo. On a serious note HIPAA is for medical records only so there is no violation of the HIPAA law.
As far as disclosure of other information generally the agency you are dealing with has you sign an authorization for release of information.
I agree with both previous answers. HIPAA laws protect health information, not Social Security numbers. I know it can be frustrating that your SSN can be so easily requested, but unfortunately HIPAA won't help you with that.
This information is not, nor is it intended to be, legal advice. You should consult an attorney for individual advice.