I doubt it is possible. How can you select the new BIOS file if the display is dead?
What model is the laptop?
Maybe we can help you diagnose the problem with the screen and then you can update the BIOS.
Open up your laptop.
Remove the laptop battery.
Remove the CMOS battery.
Hard press the power off button for as long as you can.
Then flash the BIOS file into the MoBo using an external circuit.
I do not know how you can achieve that but it is possible.