Incorrect. Catholic doctrine teaches that the body, blood, soul and divinity of Christ is fully present in both species of the Eucharist.
However, the Body and Blood are both present under both species because Christ is now alive, and his Blood is flowing in His Body. Had the Eucharist been celebrated while Christ was dead in the tomb, the Blood would NOT have been present in the host, and the Body would NOT have been present in the chalice.