No. Social Security coverage is mandatory. But consider this: unlike your private plan, Social Security provides disability and survivors coverage in addition to retirement benefits. And Social Security generally offers greater protection for family members than private pensions.
The law also does not permit a refund of Social Security taxes. The authority for the collection of taxes, including Social Security taxes, is found in the Internal Revenue Code, not the Social Security Act. (See sections 3101(a) and 3102(a) of the Code.) We suggest that you direct any questions you may have about tax liability to that Agency for consideration. The address is:
Internal Revenue Service
1111 Constitution Avenue NW
Washington, D.C. 20224.