Is it possible to choose your lead supervisory authority under the GDPR?

The General Data Protection Regulation regulates cross-border processing of personal data. For many organizations, identifying their lead supervisory authority (LSA), the principal EU regulator responsible for enforcement of the GDPR in relation to cross border processing, will be straightforward. For others, with data decision-makers in various parts of the EU or with decision-making power regarding data taken outside of the EU but processing data affecting individuals in multiple Member States, it will not be.

Source: Is it possible to choose your lead supervisory authority under the GDPR?