Additive manufacturing, commonly known as 3D printing, has become a pivotal technology in biomedical applications, particularly in the fabrication of patient-specific medical devices. Despite significant advancements, ongoing research is focused on optimizing design methodologies, material properties, and other parameters, including infill density, raster angle, nozzle temperature, and build plate temperature, all of which significantly influence the quality and functionality of the final product. This study investigates the feasibility of employing an auxetic structure, specifically a re-entrant hexagonal design, in fabricating a prosthetic hand. The work encompasses two main phases: first, a systematic review of the existing literature, and second, the modeling and mechanical characterization of the re-entrant structure to assess its applicability in prosthetic design. This research represents a step forward in advancing the use of Fused Deposition Modeling FDM technology for prosthetic development and provides an initial investigation into the mechanical behavior of auxetic structures in biomedical contexts.