Human-Animal Chimera Prohibition Act of 2021 This bill establishes new federal crimes related to conduct involving certain types of human-animal chimeras. The term human-animal chimera means an organism that, from an early stage of development, contains human and nonhuman parts. This bill makes is unlawful to create or attempt to create a prohibited human-animal chimera, transfer or attempt to transfer a human embryo into a nonhuman womb, transfer or attempt to transfer a nonhuman embryo into a human womb, or transport or receive for any purpose a prohibited human-animal chimera. A violator is subject to civil and criminal penalties.