The holy bible doesn't have anything to do with reincarnation which tells us we are reborn again after death. Instead, it teaches that each person lives one earthly life, dies once, and then faces God's judgment.
"Just as people are destined to die once, and after that to face judgment" (Hebrews 9:27).
This verse points to a single lifetime followed by accountability before God.
We should not believe on reincarnation but look forward on resurrection after death so we can live eternal life in the presence of Jesus Christ. Salvation is based on God's grace through Jesus Christ, not on living multiple lives to improve oneself. Therefore, reincarnation is not a biblical teaching.