This work introduces a bio-inspired nanofibrous membrane for wearable electronics. Mimicking frond leaves, a multi-level nanofibrous membrane with a uniform grid-like microstructure was fabricated using carboxylated carbon nanotubes (CCNTs)/poly(3,4-ethylenedioxythiophene) (PEDOT) on polyurethane (PU) nanofibers. The resulting pressure sensor exhibits high sensitivity (5.13 kPa⁻¹), fast response/recovery (80 ms/120 ms), and a low detection limit (1 Pa). Its scalability allows multifunctional applications in electro-thermal conversion and energy harvesting, suggesting potential for next-generation wearable devices.