I copied this from the Eagan muni code... Looks like that would be a no... Although they have a huge section on pigeons and how to get a permit etc...
Sec. 10.12. Animals and fowl--Keeping, transporting, treatment, housing.
Subd. 1. Definitions. As used in this section, the following definitions shall apply:
A. Farm animals means cattle, horses, mules, sheep, goats, swine, ponies, ducks, geese, turkeys, chickens, guinea hens and honey bees.
B. Animals include farm animals and all other animals, reptiles, and feathered birds or fowl, except dogs, cats, ferrets, gerbils, hamsters, rabbits, and caged household birds.
Subd. 2. Keeping. It is unlawful for any person to keep or harbor any animal, not in transit, except (1) farm animals kept in that portion of the city zoned agricultural and containing not less than five acres, or (2) animals kept as part of a show licensed under the City Code, or (3) animals used in a parade for which a permit has been issued, or (4) animals kept in a laboratory for scientific or experimental purposes, or (5) animals kept in an animal hospital or clinic for treatment by a licensed veterinarian, or (6) animals kept in a pet shop licensed under the City Code, or (7) as otherwise provided in this section.