Article IV, Section 4 of the Constitution:
"The United States shall guarantee to every State in this Union a Republican Form of Government, and shall protect each of them against Invasion"
No, it's not politically possible, today.
But by the time January 2015 rolls around there may be so many additional revelations, that a Republican-controlled Senate, and just enough democrats who wish to save their political hides, may come around.
Particularly if a growing number of Americans demand it.