Not only that but I don't remember seeing them on the list of exempt speices..So rats and mice are up there too.. By By feeders

does not include any cat (Felis catus),
8 cattle or oxen (Bos taurus), chicken (Gallus
9 gallus domesticus), dog (Canis lupus familiaris),
10 donkey or ass (Equus asinus), domesticated
11 members of the family Anatidae (geese), duck
12 (domesticated Anas spp.), goat (Capra aegagrus
13 hircus), goldfish (Carassius auratus auratus),
14 horse (Equus caballus), llama (Lama glama),
15 mule or hinny (Equus caballus x E. asinus), pig
16 or hog (Sus scrofa domestica), domesticated va17
rieties of rabbit (Oryctolagus cuniculus), or
18 sheep (Ovis aries), or any other species or vari19
ety of species that is determined by the Sec20
retary to be common and clearly domesticated.
This is the worrysome part..
(4) NATIVE SPECIES.—The term ‘‘native species’’ means a species that historically occurred or currently occurs in the United States, other than as
a result of an intentional or unintentional introduction by humans.
That means at any time horses, dogs, cats, most anything other than native animals (which are illegal to possess in most states anyway) can be added as non-native as a result of the Secutarys approval.