It is possible, amid some genetic information yet to be found in the genome project that could show some previously unknown issues with the cloned human, you can look at that as a reason not to or a motivation for scientific discovery, depends if you play the ethics card.
The process involves a egg being donated, followed by the nucleus of that egg being removed so it is stripped of genetic information - fused electrically with the cell from the person being cloned and implanted in a surrogate mother/machine(eventually) to grow into an embryo and a baby.