We demonstrate an equivalence between the work distribution in a driven two-level system and the multifractal distribution of amplitudes of random critical wave functions. This equivalence establishes a relationship between the Crooks relation for non-equilibrium processes and the symmetry of multifractal exponents of the random critical wave functions. It also suggests a generalization of the Jarzynski equality which was proven by both a stochastic calculus in a driven two-level system and by experiments on a quantum dot in a Coulomb blockade regime.