No. Privacy alone is hard and tricky. ICANN doesn’t really allow privacy. Though NICs located within the EU protect your privacy since they have to comply with GDPR. ICANN tolerates that they break their rules and works on rew rules that allow to comply with GDPR. ICANN requires your mail address, phone number and email address to be publicly available via whois. You don’t offially own the domain when a registrar offers private registration where they put there their own contact data.