We propose an all-optical approach to generating space–time wave packets in a multimode slab waveguide via the multilevel interband stimulated Brillouin scattering process. Two pump sources and a single-mode signal are fed into the waveguide. The pumps generate a single-mode acoustic wave through the electrostrictive process. The acoustic wave then induces an indirect interband photonic transition from the signal wave, resulting in a light bullet, that is, a space–time wave packet that does not change its spatial and temporal shape as it propagates through the waveguide.