Running trailer from tow vehicle inverter

“Is it possible to run the trailer converter by plugging into a tow vehicle inverter?L

So if I understand what you want to do is...have the tow vehicle’s inverter make 120 volt power from the tow vehicle’s 12 volt battery to send to the trailer’s converter for use as 120 volt power and to have the trailer converter supply 12 volt power the 12 volt trailer items?