MeshModule is a modular construction platform composed of soft, 3D-printed mesh units designed for rapid prototyping of interactive, reconfigurable structures. Each module integrates a flexible mesh body with interlocking connectors, enabling assemblies that are both structurally robust and mechanically compliant. By varying infill patterns, material properties (PLA, TPU, and conductive filament), and geometries, MeshModule supports a range of mechanical behaviors, including bending and folding. The system also accommodates embedded electronics for responsive functionality, making it suitable for applications in wearable computing, education, and interactive art installations. Inspired by tactile learning toolkits, MeshModule fosters hands-on creativity, inclusivity, and scalable interaction design. This work demonstrates how soft digital fabrication can expand the boundaries of modular systems, enabling expressive, accessible, and programmable physical interfaces.