The Bible is a book which is in so many instances proven to be coming from God. There's no doubt whatsoever that the Bible came from God. It is a book that was written through God's guidance through the inspiration of this Holy Spirit. God used pen men to write the existing books of the Bible as we know them now.
Going through the scriptures, there is nowhere in the Bible where the word re-incarnation was recorded, nor the idea of re-incarnation is in the Bible. This is because it is not possible if you believe in the Bible to be re-incarnated.
Hebrews 9:27
And as it is appointed unto men once to die, but after this the judgment.
The Bible tells us as it is appointed unto men once to die. If we do not see the word re-incarnation in the Bible, the idea of re-incarnation in the Bible, it is not allowed.
As it is appointed unto men once to die.
If we are going to die once, there's no way we can be re-incarnated. It is God's appointed will that man shall die once.
There are people who die twice. We see this case with Lazarus who died once but was resurrected by the Lord Jesus Christ and died again. But when he was brought back to life it wasn't into another body but his same original body.
If we are given only one chance to live and one chance to die, then the idea of reincarnation seems to contract this. Have a beautiful weekend.