For sure. I have a couple of Winix air quality sensors / purifiers and they power up (with red LEDs and rushing fans) almost immediately if anyone has a little gas anywhere in the room.
My kids call our winix purifiers "fart detectors"
If you were to have an array of such sensors, perhaps you'd be able to estimate direction of travel.
"I'm sorry, Frank. The sensors don't lie. I'm going to have to ask you to leave."