"Built in the USA with Global Materials" can mean a lot of things. It can mean the entire drill was made in Mexico or China and all they did was attach the power cord at a warehouse in the USA. Companies are sneaky like that - they want to give you a warm and fuzzy feeling inside because you think you're supporting American industry and workers - but it's really just a clever marketing scheme.
No they can't that is a clear violation.
From the FTC.
Link
Assembled in USA Claims
A product that includes foreign components may be called "Assembled in USA" without qualification when its principal assembly takes place in the U.S. and the assembly is substantial. For the "assembly" claim to be valid, the product’s last "substantial transformation" also should have occurred in the U.S. That’s why a "screwdriver" assembly in the U.S. of foreign components into a final product at the end of the manufacturing process doesn’t usually qualify for the "Assembled in USA" claim.
Example: A lawn mower, composed of all domestic parts except for the cable sheathing, flywheel, wheel rims and air filter (15 to 20 percent foreign content) is assembled in the U.S. An "Assembled in USA" claim is appropriate.
Example: All the major components of a computer, including the motherboard and hard drive, are imported. The computer’s components then are put together in a simple "screwdriver" operation in the U.S., are not substantially transformed under the Customs Standard, and must be marked with a foreign country of origin. An "Assembled in U.S." claim without further qualification is deceptive.