YES. Current surgical capability is well within the boundaries of a complete head transplant. That said, no human is known to have undergone the procedure.
In 1963, a group of scientists from Case Western Reserve University School of Medicine in Cleveland, Ohio, led by Robert J. White, a neurosurgeon and a professor of neurological surgery performed a highly controversial operation to transplant the head of one monkey onto another’s body. The procedure was a success to some extent, with the animal being able to smell, taste, hear, and see the world around it. The operation involved cauterizing arteries and veins carefully while the head was being severed to prevent hypovolemia. Because the nerves were left entirely intact, connecting the brain to a blood supply kept it chemically alive.
Unfortunately, since the technology required to reattach a severed spinal cord has not yet been developed, the subject of a head transplant become quadriplegic. This technique has been proposed as possibly useful for people who are already quadriplegics and who are also suffering from widespread organ failures which would otherwise require many different and difficult transplant surgeries.
A disturbing solution to the issue of paralysis was pioneered by Soviet scientist Vladimir Petrovich Demikhov. Demikhov experimented extensively with the transplantation of the heads of dogs. He avoided the issue of a unresponsive body by attaching the heads of smaller dogs onto un-decapitated hosts. The result of this strategy was a relatively healthy dog, in full control of body function, with two separate heads, brains and levels of consciousness.