According to USPS regulation, one can mail live poultry!

 
"526.3 Live, Day–Old Poultry

526.31 General

The following live, day–old animals are acceptable for mailing when properly packaged: chickens, ducks, emus, geese, guinea birds, partridges, pheasants (only during April through August), quail, and turkeys. All other types of live, day–old poultry are nonmailable. Day–old poultry vaccinated with Newcastle disease (live virus) also is nonmailable."