It is possible but they don't grow well in the water, this is because violets need soil for their nutrients so they will grow beautiful and strong. Violet roots needaeration that they receive from growing in African violet soil. I did try growing some in water a few times but they were spindly. It's possible there are other varieties or types that grow in water.
Bucky
Submergent plants reside below the water's surface, like turtle grass or kelp forests. Emergent plants break the water's surface, like cattails and rushes .
You can create humidity around your violets by placing pebbles in the plants saucers and sitting plants on top, keep filled with water to just enough so that plant pots are not sitting in the water. You don't want your plant to become water logged and rot. Another way is by sitting containers filled with water around your violets. Also, you could place a humidifier in the room.
It survives entirely under water and is known as a submergent
African Violets are plants and make their own food, so they are autotrophs.
It is submergent. See the related link for a more in depth explanation.
No, they are not. Example of taproot plants; turnips, carrots
No, they are not. Taproot plants roots are long like a carrot.
submergent
Botanists and Horticulturists are biologists who study cactus plants [Cactaceae family] and African violets [Saintpaulia spp].
violets
Violets need to have partial sunlight and minimal water. They also need to stay out of the cold weather. If these guidelines are met, violets can last forever.