Yes, but if you can avoid tapping into that circuit, that would be more desirable.
There are a couple of Green wires over by the passenger firewall grommet that are hot in both positions too I think.
It's the ignition switch that performs that duty usually, so pretty sure the Green wire (used for stock voltage regulators) is another option for you.
If the other AUX Green wire is tested, you might find it hot in both positions too.
Worth a shot anyway.
Paul