6D grasping in cluttered scenes is a longstanding robotic manipulation problem. Open-loop manipulation pipelines can fail due to modularity and error sensitivity while most end-to-end grasping policies with raw perception inputs have not yet scaled to complex scenes with obstacles. In this work, we propose a new method to close the gap through sampling and selecting plans in the latent space. Our hierarchical framework learns collision-free target-driven grasping based on partial point cloud observations. Our method learns an embedding space to represent expert grasping plans and a variational autoencoder to sample diverse latent plans at inference time. Furthermore, we train a latent plan critic for plan selection and an option classifier for switching to an instance grasping policy through hierarchical reinforcement learning. We evaluate and analyze our method and compare against several baselines in simulation, and demonstrate that the latent planning can generalize to the real-world cluttered-scene grasping task.