Walmart literally did it a couple years ago. The product packaging complied with federal trade standards, but the company advertised them as made in the USA in their marketing and website as a part of their push to sell products that support American jobs. It’s been pretty common for decades, especially in hardware.
On top of that, the government attempted to define what the official “made in USA” designation meant, but it failed to pass congress in the 90s leaving the wording extremely vague.