You are more likely to damage your FlashScan v2 device.
The problem occurs when the inverters ground is not pulled to the vehicle's ground. It can drift so that a voltage difference exists between the vehicle's chassis and the laptop's ground. If the difference is small (say 50mV or less) then there should not be a problem. If the difference is large, i.e. multiple volts, then when FlashScan is connected between the laptop and the vehicle, the ground path through FlashScan to the vehicle will conduct the voltage at zero resistance - which leads to a current surge through FlashScan as the grounds equalize.
Using a digital multimeter, measure the voltage difference between the USB port in your laptop and pins 4/5 on the OBDII connector. If they are the same (<50mV difference) then you may be ok.
One suggestion if you really must use a power inverter and don't have a multimeter handy is to do the following:
1. Connect the USB cable to the laptop while the laptop is being powered via the inverter.
2. Touch the other end of the USB cable to the vehicle's chassis to equalize any voltage difference between the laptop and the vehicle, and then connect FlashScan.
Disclaimer: Even with the above precautions, EFILive does not recommend using power inverters due to the potential for damage. Use them at your own risk.