To grow corn in a small space, you can consider using the "Three Sisters" planting method which involves growing corn, beans, and squash together. This method maximizes space as the corn provides support for the beans to climb, while the squash acts as a ground cover to suppress weeds. Additionally, you can choose a compact corn variety that is suitable for small spaces, such as "Baby Corn" or "Pencil Cob" varieties. Make sure to provide adequate sunlight, water, and nutrients for your corn plants to thrive in a small space.