GRETA, the Gamma-Ray Energy Tracking Array, is an array of highly-segmented HPGe detectors designed to track gamma-rays emitted in beam-physics experiments. Its high detection efficiency and state-of-the-art position resolution enable it to reject Compton background and also sequence detected interactions via Compton kinematics. In this paper, we use simulated photon tracks to estimate how well interactions can be sequenced in the GRETA detector. This lays the groundwork for subsequent gamma-ray imaging applications such as nuclear lifetime measurements.