No; by definition, an autotroph produces its own nutrition (e.g., photosynthesis, chemosynthesis). mushrooms feed off of living or dead organisms. they can secrete digestive enzymes onto dead biomatter (e.g., leaves, twigs, logs) and absorb the resultant organic nutrients. they can act as parasites and feed off of the metabolism of living plants of animals. they can also attack living organisms. some form symbiotic relationships with algae; these are lichens. some of the more extreme fungi out there can break down the lignin in wood, the protein keratin (of which hair is made); some can metabolize wall paint, others feed on kerosene and aircraft fuel. pretty hardy stuff.