No, unfortunately, at least not in your case. A few high-end ASUS and Gigabyte motherboards support flasing BIOS without the CPU, but such boards are rare, and not all manufacturers even care about that feature. I would avoid too much hassle and simply buy Celeron G3900 (it is cheap), use it to flash BIOS, sell it afterwards. Or, if you have a friend with Skylake CPU, you could borrow it just for flashing.