Sure it is. The Federal labor laws only apply to businesses engaged in interstate commerce (individual state laws apply locally). But even then exemptions are listed on page 5 of this non-copypastable PDF: https://www.dol.gov/sites/dolgov/files/WHD/legacy/files/chil...
https://www.dol.gov/agencies/whd/youthrules/young-workers
If you are under the age of 14, you are only allowed to do the following jobs:
- Deliver newspapers to customers
- Babysit on a casual basis
- Work as an actor or performer in movies, TV, radio, or theater
- Work as a homeworker gathering evergreens and making evergreen wreaths; and
- Work for a business owned entirely by your parents as long as you are not employed in mining, manufacturing, or any of the 17 hazardous occupations.