Yes.
EDIT: I need to add some context to my quick, one word answer this morning. I don’t want to give the impression that I have a cavalier attitude toward my safety and the safety of those around me. I do pull into fuel stations with my fridge on propane. Normally, my trailer is not next to a pump, it is behind the truck which is next to the pump. We travel a lot in the west where it is usually windy. On those occasions where the station is very busy and I need to use a forward interior pump I will turn off my propane. I always check inside the trailer when stopped, so when I turn off the propane I will go inside and turn off the fridge while I’m checking so that the fridge is not on batteries. As far as the furnace goes, over the last 7 years I’ve only traveled with it on a few times so I don’t remember fueling with it on. The same situational awareness would have applied.