You could not be able to hybrid a wild animal with an engineered organism because due to the fact of the engineered organism has two different parent genes that don’t match it is an organism that cannot survive on its own so it cannot reproduce so if you were to genetically hybrid A genetically engineered organism with a wild natural animal or plant it would not work. an example of a genetically modified organism would be a liger which is a lion and tiger mix and the reason we don’t have liger’s running around in the wild is because they are unable to reproduce, and live on their own. in short hybrid animals are infertile because they don’t have viable sex cells meaning they can’t produce sperm or eggs this is a case because the chromosomes from the different species parents don’t match up. so you can’t breed a hybrid with a purebred organism.