Hi, I don't see why you could not grow any type of vegetable, Italian or not, in your garden. As long as veggies get plenty of sunlight and regular watering they should thrive. If you can't water, be sure to mulch the plants to maintain some soil moisture. Just know that leafy greens won't do well once it gets hot, but you should be fine with tomatoes, sweet corn, peppers, melons, cucumbers and other warm weather crops. Cool-weather crops like leafy greens, peas, radishes, potatoes, broccoli, cauliflower need cool, moist temperatures in the spring to develop properly.