Maybe not, depending on where the hatcheries are. Especially if you have more than one truck driver, so each can sleep while the other drives.
I just found Hoover Hatchery on google maps, and told it give directions to several places (San Diego, CA; Seattle, WA; Miami, FL; Bangor, ME). Google maps estimated that any of those could be reached in 30 hours or less of actual driving. If you allow for some stops, and some bad weather, I think two drivers could get from Hoover Hatchery to just about any point in the 48 contiguous states within 72 hours.
Also, it's the Post Office refusing shipments of live animals that must go by air. If TSC, or any other company, had a deal directly with the airlines they might still be able to have their chicks go by airplane.