The shear viscosity, η, of a fermi gas with non-relativistic conformal symmetry in two spatial dimensions is investigated. We find that η/s, s being the entropy density, diverges as a gas of free particles in this system. This is in contrast to the η/s = 1/4π found using the non-relativistic AdS/CFT correspondence, which requires a strongly interacting CFT. It implies that the unitary fermi gas in two spatial dimensions is not likely to have a weakly interacting gravity dual.