Only if you find a BIOS update from your PC manufacturer (HP/Compaq). Clicking a "Pegatron 2a99 BIOS" link from a non-brand website is dangerous. HP typically ships BIOS updates as .exe files that run within Windows.
Integrated Realtek PCIe GBE (Gigabit Ethernet) Controller. Where to Download Drivers Pegatron Corporation 2a99 Motherboard Drivers