High Resolution Range Profiles (HRRP) have become a key area of focus in the domain of Radar Automatic Target Recognition (RATR). Despite the success of data-driven neural network-based HRRP recognition, challenges such as insufficient training samples persist in its real-world application. This letter introduces HRRPGraphNet, a novel Graph Neural Network (GNN) model designed specifically for HRRP target recognition that leverages new insights to address these challenges. A pivotal innovation is the transformation of HRRP data into a graph structure, utilizing a range cell amplitude-based node vector and a range-relative adjacency matrix. This graph-based approach facilitates both local feature extraction via one-dimensional convolution layers and global feature extraction through a graph convolution layer, capitalizing on the intrinsic relationships between range cells which is a distinct advantage over existing sequence-based methods. Experiments on the aircraft electromagnetic simulation dataset and the measured dataset have confirmed HRRPGraphNet's superior accuracy and robustness, particularly in fewer training sample environments, underscoring the potential of graph-driven innovations in HRRP-based RATR.