No. A flower cannot grow without sunlight, water, and air. Sunlight, water, and air are three basic factors necessary for the growth of any plant; for survival, plants need the three components. Just live other living organisms; plants need food for energy. Photosynthesis is the process in which plants make energy. It is the process by which plants convert light energy to chemical energy (produce a form of sugar and oxygen). Plants cannot survive sunlight for a long time. The plant will begin to die off.
The leaves will get pale and eventually turn yellow with input from sunlight. Plants need carbon dioxide in the process of photosynthesis, as well. The energy in sunlight is used to convert carbon dioxide and water to form sugar and oxygen. In summary, it is impossible for a flower to grow in the absence of sunlight, water, and air as these three components are needed for photosynthesis, which is the energy-generating process that sustains a plant.