nope, i think the only regulation pertains to steel core, which is a military round meant to penetrate armor, though im not sure if that is a federal thing, or state law. They just wont sell it, though you can find some people who have them and are selling them for thousands of dollars.
most notable case of this came under scrutiny from the FiveSeven, which when first released to the public was sold with the steel core, armor piercing rounds. After it was named the cop killer(brutal shooting of a LEO by a Mexican Cartel member, if i remember correctly), Herstal pulled all sale of ammunition to the public, and revamped the ammunition to be sold to the public with a sport round.