This paper introduces a dual-band inductive link designed to operate at both 6.78 and 13.56 MHz in the industrial, scientific, and medical (ISM) bands. The primary aim is to facilitate wireless power and data transmission in multisite biomedical implants. To mitigate magnetic interference between coils and reduce the occupied area, a single-coil transmitter configuration is employed in the proposed system. The study also investigates the advantages of employing different shapes of planar coils, such as square, circular, and octagonal topologies, in a dual-band power transmission setup. The presented system provides a reliable power supply for electronic circuits and supports downlink data communication. The inductive links are practically realized on printed circuit boards (PCBs), and the power and data circuits are fabricated using a 180-nm CMOS process. The proposed inductive link achieves a maximum coupling coefficient of 0.18 at a coil distance of 5 mm, along with a maximum power transfer efficiency (PTE) of 11.6% for the transmitter and receiver coils, which have outer dimensions of 43 mm and 13.5 mm, respectively. This setup showcases the feasibility and potential of the proposed dual-band inductive link for biomedical applications, offering a promising solution for efficient multisite power and data transfer in implantable devices.