Yes it is feasible.
Your machine is all AC voltage, your GPS runs on DC voltage. All you need is a rectifier to convert the AC to DC.
We have a KOSO unit that is very simple to install. Tap the KOSO unit into any yellow wire on your machine. The output wire on the KOSO unit will be 12-15 Volt DC. You can connect the KOSO unit to a std cig lighter plug and charge your cell phone also.
Price = $37.95