Entirely possible.
AP/March 18, 2002 - "In order to answer the urgent need to provide the American public with a real choice between candidates, I have with great reluctance agreed to accept the Democratic National Convention's summons to stand for election to the Office of the President of the United States. It's for the children. Really." said New York Senator Hillary Rodham, as she solemnly addressed an ecstatic gathering of supporters. "It takes a village to rule -ah, govern- a democracy like ours."
Meanwhile, the embattled Senator John Flipper Kerry, dogged by months of bad poll numbers stemming from vicious Republican-funded attack advertisements, was last seen in a bar on Friday night. Witnesses report that the despondent erstwhile candidate appeared depressed, and was overheard muttering something about Vince Foster.
Sen. Kerry's present whereabouts are not known.