Lima beans can be planted in a cup. However, in order for lima bean plants to grow to full size and produce beans, the plant that sprouts in the cup needs to be transplanted into a larger container or a garden.
Lima beans are relatively easy to sprout in a cup. Fill the cup at least half way full with moist dirt or peat moss and plant the seed about an inch deep. Place the cup where it receives at least six hours of full sunlight everyday. Keep the soil moist, but make a hole in the bottom of the cup to allow excess water to drain. When the plant roots fill the cup, the seedling needs to be transplanted.