You cant grow every vegetable in every climate or every soil, some vegetables are tropical some require a cool climate, so chose the type of vegetables that best suits your climate.
However, if the situation and climate is a little marginal, then maybe give it a go. Look around the district and see what vegetables others are growing, its a good indication of what will work.
Consider a Hothouse or Green house to lengthen the growing season.
Site selection for Vegetable Gardens
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Most vegetables require a deep, humus rich soil and a sunny position to provide a good crop
Generally wait until frosts are over before planting.