Not with direct control from the US - with AWS there is no privacy or sovereignity difference between EU-CENTRAL-1 or US-EAST-1 - you might tick a compliancy checkbox though. But sooner or later there will be more pressure and AWS and Azure will create legally independent companies in the EU to manage clouds in the EU.
Sadly iirc the US laws that makes GDPR compliance problematic cover subsidiaries so making them independant enough is probably more or less impossible in practice.
