Enhancing light-matter interactions on a chip is of paramount importance for classical and quantum photonics, sensing, and energy harvesting applications. A device geometry resilient to nanofabrication imperfections, providing high-quality light confinement and control over the emitted light properties, would be desirable. To this end, we demonstrate that aperiodic arrangements, whose geometry is inspired by natural systems where scattering elements are arranged following Fibonacci series, of air holes in suspended membranes, represent a platform for enhancing the light-matter interaction in active onchip nanophotonic devices embedding light emitters.