Moss readily grows out of water. However, moss is a non vascular plant, so it must be kept moist at all times, otherwise it will eventually dry out.
Moss can be grown on mesh (any should do), but it must be in contact with some nutrient source. Underwater, moss gets its nutrients from the water column. Emerged, it is in contact with running or still water, or moist substrate.
I usually just place a thin layer of substrate in a clear plastic container, fill it with enough water so that the substrate is sufficiently moist, and place the moss on top. Then cover the container so it stays nice and humid. I have multiple on my window that do great!
Moss can be grown on mesh (any should do), but it must be in contact with some nutrient source. Underwater, moss gets its nutrients from the water column. Emerged, it is in contact with running or still water, or moist substrate.
I usually just place a thin layer of substrate in a clear plastic container, fill it with enough water so that the substrate is sufficiently moist, and place the moss on top. Then cover the container so it stays nice and humid. I have multiple on my window that do great!