No. Jill Stein is not embarking on the recount effort as a claim that she won the election, but because she understands the dangers of an election system where votes are tallied secretly inside computers. Many state election laws specify that only candidates can get recounts. Jill Stein has stepped forward as a representative of the people, seeking an accurate count of the election.
Similarly, in the wake of the 2004 Presidential election fiasco in Ohio, Green Party candidate David Cobb and Libertarian Party candidate Michael Badnarik demanded a recount there.