Its cousin Fannie Mae had been from 1938, but that ended in 1968 when Congress decided to spin it off to private enterprise (This was part of the deal involving the Vietnam War, balancing the budget for Fiscal Year 1969, the last Budget of LBJ and the last Balanced budget till Clinton's administration).
As Wikipedia states:
From 1938 to 1968, the Federal National Mortgage Association (Fannie Mae) was the sole institution that bought mortgages from depository institutions, principally savings and loan associations, which encouraged more mortgage lending and effectively insured the value of mortgages by the US government. In 1968, Fannie Mae split into a private corporation and a publicly financed institution. The private corporation was still called Fannie Mae and its charter continued to support the purchase of mortgages from savings and loan associations and other depository institutions, but without an explicit insurance policy that guaranteed the value of the mortgages. The publicly financed institution was named the Government National Mortgage Association (Ginnie Mae) and it explicitly guaranteed the repayments of securities backed by mortgages made to government employees or veterans (the mortgages themselves were also guaranteed by other government organizations). To provide competition for the newly private Fannie Mae and to further increase the availability of funds to finance mortgages and home ownership, Congress then established the Federal Home Loan Mortgage Corporation (Freddie Mac) as a private corporation through the Emergency Home Finance Act of 1970. The charter of Freddie Mac was essentially the same as Fannie Mae's newly private charter: to expand the secondary market for mortgages and mortgage backed securities by buying mortgages made by savings and loan associations and other depository institutions.
http://en.wikipedia.org/wiki/Freddie_Mac
Just pointing out that since 1968 neither Fannie Mae nor Freddie Mac have been "Taxpayer owned" corporations.