I propose that the answer to the title question is "no." I show that the change in entropy of a self-gravitating gas cloud as it contracts is negative. This general result is applied to the specific cases of a contracting pre-stellar cloud and to the Kelvin-Helmholtz mechanism. However, I argue that this does not violate the second law of thermodynamics, because both processes involve heat losses. By definition, a heat loss has a negative entropy change. In any heat transfer problem it is necessary to consider both the emission and absorption of heat in calculating the total entropy change to properly evaluate whether the process violates the second law of thermodynamics. Thus it appears that the theoretical contraction of a gas cloud to form a star does not violate the second law of thermodynamics. It is recommended that creationists do not use this argument to critique the theory of stellar evolution. However, there remains a long-standing problem with how the alleged initial contraction of a gas cloud can commence. This is a valid criticism of star formation.