If a product states it is manufactured in the USA, does that also mean the ingredients came from the USA as well?

For example: a bottle of vitamins state, they are manufactured in the USA, does that also, mean the ingredients to make the vitamins came from within the USA, as well?
Or can the ingredients come from another country, and then all mixed together here in the USA, in a manufacturing plant, and then they qualify, as being manufactured in the USA?

I know the USP mark means it under went rigourous testing, for metals and toxins, but does it, also know where the ingredients originated from? (I edited this question.)