Does the church of Christ believe in predestination?

Only in the sense that God predestines the righteous to be eternally saved and the unrighteous to be eternally lost. The statement of the apostle Peter, "Of a truth I perceive that God is no respecter of persons, but in every nation he that feareth him and worketh righteousness is acceptable unto him" (Acts 10:34-35.) is taken as an evidence that God did not predestine individuals to be eternally saved or lost, but that each man determines his own destiny.