Yes. But the mental discipline would be very hard to maintain.
Nope, unless you want to count falling through zero-G as flying. In low and no gravity environments, it is possible for anybody to fly. But there are serious medical side effects from prolonged living in low and no gravity, so it's probably not worth it. Still, it would be fun for a day or so, wouldn't it?
Supposedly highly advanced Yogis have already attained this feat. Yogi can develop powers called siddhis. There are nine major ones. Vayu Gaman Siddhi: Through this Siddhi a person can become capable of flying in the skies and traveling from one place to another in just a few seconds. The Buddha was one of these yogis fabled to have levitated during deep meditation sessions. Here is the list of the other 8 of 9 siddhis: Parkaya Pravesh: Parkaya Pravesh means entering one’s soul in the body of some other person. Through this knowledge even a dead body can be brought to life. Haadi Vidya: This Vidya or knowledge has been mentioned in several ancient texts. On acquiring this Vidya a person neither feels hungry nor thirsty and he can remain without eating food or drinking water for several days at a stretch. Kaadi Vidya: Just as one does not feel hungry or thirsty in Haadi Vidya similarly in Kaadi Vidya a person is not affected by change of seasons i.e. by summer, winter, rain etc. After accomplishing this Vidya a person shall not feel cold even if he sits in the snow laden mountains and shall not feel hot even if he sits in the fire. Madalasa Vidya: On accomplishing this Vidya, a person becomes capable of increasing or decreasing the size of his body according to his wish. Lord Hanuman had miniaturised his body through this Vidya while entering the city of Lanka. Kanakdhara Siddhi: One can acquire immense and unlimited wealth through this Siddhi. Prakya Sadhana: Through this Sadhana a Yogi can direct his disciple to take birth from the womb of a woman, who is childless or cannot bear children. Surya Vigyan: This Solar science is one of the most significant sciences of ancient India. This science has been known only to the Indian Yogis and using it, one substance can be transformed into another through the medium of sun rays. Mrit Sanjavani Vidya: This Vidya was created by Adi Shankaracharya. Through it even a dead person can be brought back to life.
I think you could have thought of a better first question. People have been trying to fly for thousands of years without machinery. No one has done it yet. You could have answered this one yourself... now go and think of a better question.
No. Even if you could somehow grow wings, you still wouldn't be able to get off the ground. People assume that birds and insects can fly soley because they have wings, but that's just the most obvious part of a complicated physiological mechanism. Flying birds and insects have bodies that have become completely streamlined for flight by evolution; the lightest possible bodies, and the greatest possible aerodynamics. Humans simply aren't designed to fly.