You may be surprised to find out how many vegetables can grow in the high desert with the right soil and care. Some of the vegetables that will grow at MontemAra will include peppers, tomatoes, squash, cantaloupe, corn, cucumber, eggplant, okra, watermelon, asparagus, potatoes, carrots, spinach, leeks, collards, parsnips, lettuce, cabbage, beets, turnips, kale, Swiss chard, broccoli, radishes and spinach.