Our Lady answered a question by the visionaries on July 24 1982
You go to Heaven in full conscience: that which you have now. At the moment of death, you are conscious of the separation of the body and soul. It is false to teach people that you are reborn many times and that you pass to different bodies. One is born only once. The body, drawn from the earth, decomposes after death. It never comes back to life again. Man receives a transfigured body.Our Lady
So you have heard it straight from the horses mouth. Direct from Our Lady who is appearing in Medjugorje to the visionaries who are asking lots of questions. Our Lady is here passing on messages direct from our Almighty Father.
But to those who want to delve deeper, ask this question - Did Jesus Christ Teach Reincarnation?
The short and quick answer is no, but read this article for yourself.