I had to get in on this one
You can file a request for the SSA to delete the record of your SSN "application", they will not rescind a SSN once assigned. The SSA policy manual, "RM 00205.095," addresses this issue; it states: "SSA does not change, void or cancel SSN's. In special situations, SSA will delete the application information from the SSN record." This specific SSA policy statement is in regard to numbers assigned to children at birth. However, the statement appears to be a "blanket" policy. Having a SSN does not in and of itself mean that the person to whom the SSN was assigned is a "taxpayer." In fact, according to the SS Act, numbers may only be assigned to aliens and applicants for government benefits, (which often go to non-taxpaying persons), and children of members of either of these two groups [see U.S. Code 2 sec. 405(c)]. The IRS Code does state that a "taxpayer" must use a "taxpayer identification number" when filing a tax form. This number is referred to in the IRS regulations as a "TIN." But TIN's may only be assigned to "aliens" according to the regulations and according to the W-7, TIN application form, [see Form W-7, "Application for Individual Taxpayer Identification Number" (TIN)]. These TIN's are not the same things as a SSN. The IRS regulations do state that a person who has an assigned SSN may use that number for taxpaying purposes if they are also a "taxpayer." But the tax liability of any person who has been assigned a SSN would have to be determined on a case-by-case basis, and having a SSN does not mean that the person is a "taxpayer."
In short and as HomeGuru states: "If you have income..." You must decide if what you have as income, is taxable or not.