A lot of us in America have no sales tax (if that’s what you mean by VAT) and those that do have it at a fraction of EU VAT rates.
Not that many of us, actually. Only Montana, New Hampshire, Oregon, and some parts of Delaware and Alaska have no sales tax. https://commons.wikimedia.org/wiki/File:Sales_tax_by_county....
https://tax.idaho.gov/taxes/sales-use/use-tax/online-guide/
This is difficult to enforce, but it seems that "taking advantage" is strictly speaking just tax fraud.