Depends on what the avenue of exploit you're worried about is. You can disable BIOS flashing from the OS in the BIOS, but that might still be theoretically vulnerable to, say, compromising the Intel ME environment and flashing from there; a rootkit loaded in SMM could hang around until the machine is cold power cycled (and theoretically compromise the bootloader(s) to load itself and then chainload the "real" bootloader every boot); if you want to get really invasive, you could theoretically start flashing various microcontrollers attached to the system (say, a USB flash drive, or your HDD/SSD controller) to do malicious things.
These get increasingly unlikely (and unreliable, without knowing and targeting the specific hardware you're using) as your attacker model includes less resources, but not impossible. Intel ME code execution, BIOS and SMM rootkits, malicious USB flash drive firmware and HDD firmware have all been demonstrated (I haven't seen malicious SSD firmware, but there's nothing theoretically stopping it other than the controller doing a lot more on them), and a couple have even been found in the wild.
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Theoretically - and vice-versa.
Depends on what the avenue of exploit you're worried about is. You can disable BIOS flashing from the OS in the BIOS, but that might still be theoretically vulnerable to, say, compromising the Intel ME environment and flashing from there; a rootkit loaded in SMM could hang around until the machine is cold power cycled (and theoretically compromise the bootloader(s) to load itself and then chainload the "real" bootloader every boot); if you want to get really invasive, you could theoretically start flashing various microcontrollers attached to the system (say, a USB flash drive, or your HDD/SSD controller) to do malicious things.
These get increasingly unlikely (and unreliable, without knowing and targeting the specific hardware you're using) as your attacker model includes less resources, but not impossible. Intel ME code execution, BIOS and SMM rootkits, malicious USB flash drive firmware and HDD firmware have all been demonstrated (I haven't seen malicious SSD firmware, but there's nothing theoretically stopping it other than the controller doing a lot more on them), and a couple have even been found in the wild.