No. His status from the war made him virtually untouchable or
even unchallengeable as President. He is the only president to be
elected by a unanimous vote of the Electoral College. Toward the
end of his second term; however, some Republicans who disliked the
Federalist concept Washington espoused did begin to criricize and
even call for him to step down, calling him King George IV.
At one point, however, he made concessions with the British
Empire concerning land and where the British could build forts and
such. Other figures, such as Samuel Adams and the like called for
another war, but Washington knew that a war would destroy the new
founded America, and so in secret signed a treaty with the British.
Everyone hated him and demanded he be impeached, but it eventually
died down. In retrospect, this was a good decision on Washingtons
part.