The Kantare created an airponics bay aboard their stranded ship. It was discovered by Commander Tucker and Sub-Commander T'Pol when they followed a shadow. In this airponics bay, Tucker first met Liana. Later, Liana offered Tucker a fruit from their airponics, the lorella. (ENT: "Oasis")
The accepted term for the method is aeroponics. However, "airponics" is the term used in the series. Aeroponics is a very real technology developed in the 20th century.