No. The 'Forget Member' feature operates solely on personally identifiable information that is stored in the MemberMouse database tables on your host server. To erase any information that has been shared with our integration partners, such as payment, email or affiliate providers, or any other 3rd party platform including WordPress, you will have to work directly with those providers.
Here are links to our main integrations and their documentation on GDPR (where available):
Email Providers
Payment Providers
Affiliate Provider