It is physically impossible for a human to fly without some sort of mechanical assistance, so you can learn to hang-glide, or fly a plane. It is currently impossible to physically teleport your body to a different location. However one can learn to control your dreams through lucid dreaming techniques and you can fly nearly anytime you want to in your dreams. Also it is believed everyone can attain "out of body" spiritual experiences through deep mediation and other forms of consciousness altering methods.
To fly you must use a mechanical device. Teleportation is not yet possible. But when, or if, teleportation becomes possible, the atoms in your body would have to be destroyed in one location, transferred to another, and reassembled there. The atoms would have to be reconstructed perfectly so there is no change whatsoever in your body's state in any type of way.