Very unlikely. You need a power supply that can work down to 8-9 volts.
I am using a Kerio Power adapter to run an E-Vectra PC. It works well.
The only problem is the voltage drops too low during crank, and the pc restarts.
I was thinking about sticking a large capacitor (like the ones used in car audio installs) on the power supply, would this sustain the voltage long enough during the engine crank to prevent the restart?