I work for the Social Security Administration. This is not possible as the SSA does not recycle numbers. From the SSA website:
Q20: Are Social Security numbers reused after a person dies?
A: No. We do not reassign a Social Security number (SSN) after the number holder's death. Even though we have issued over 415 million SSNs so far, and we assign about 5 and one-half million new numbers a year, the current numbering system will provide us with enough new numbers for several generations into the future with no changes in the numbering system.
Great information and thank you for taking the time and trouble to educate me.....