Yes, you can own a skunk as a pet in Illinois. The Dangerous Animals Act prohibits the sale of skunks as pets, but the Herptiles-Herp Act allows residents to keep skunks as pets. However, it is against the law to own a skunk if you are not qualified to keep animals of that type. You must meet the same qualifications for owning a skunk as you would for owning any other type of animal.