Learning to interact with deformable tree branches with minimal damage is challenging due to their intricate geometry and inscrutable dynamics. Furthermore, traditional vision-based modeling systems suffer from implicit occlusions in dense foliage, severely changing lighting conditions, and limited field of view, in addition to having a significant computation burden preventing real-time deployment.In this work, we simulate a procedural forest with realistic, self-similar branching structures derived from a parametric L-system model, actuated with crude spring abstractions, mirroring real-world variations with domain randomisation over the morphological and dynamic attributes. We then train a novel Proprioceptive Contact-Aware Policy (PCAP) for a reach task using reinforcement learning, aided by a whole-arm contact detection classifier and reward engineering, without external vision, tactile, or torque sensing. The agent deploys novel strategies to evade and mitigate contact impact, favouring a reactive exploration of the task space. Finally, we demonstrate that the learned behavioural patterns can be transferred zero-shot from simulation to real, allowing the arm to navigate around real branches with unseen topology and variable occlusions while minimising the contact forces and expected ruptures.