No .. At least not in the real world.
Some parts have been tried but it didn't work out !
Yes, No, Maybe.
An episode of Star Trek they did it. Didn't work out well. The woman in Kirk's body was weak mined when you force the swap on him. Kirk's only thoughts were to getting back into his body. However Dr. Lester want to keep his body. Being in his body seem to make her mad with power.
Is that what bruce jenner did
Apparently, an Italian surgeon by the name of Sergio Canavero is planning on trying this in 2017. Article in Surgical Neurology International .
In the very "Literal" sense this is what he is proposing to do, and had some success with doing this on a monkey. Article
There are no "Souls" to swap, and swapping consciousness would need similar "Neuron Wiring" (Pathways) to be present in the two individuals. We can always enjoy the concept in Science Fiction until then like in Selfless