I'd say yes, but you're gonna need duct tape too.

There's probably a way to do it as long as the eeprom can store the hex file. I just have no clue how'd you go about doing the programming trigger, or transfer the data. Doesn't a bootloader expect input from a serial connection? Eeprom are often I2C or possibly another protocol.

My "total" guess is that you'd need another microprocessor to handle the transfer.

Robert "I have never touched a bootloader"