Unfortunately, no. PayPal does not allow for the exporting of customer data for marketing purposes. A PayPal seller can only send emails to their clients regarding their original order. If this changes at any time, we will update this article accordingly.
Exporting Customer Contacts from my stores
How to: Download my Customers from ShippingEasy
How to use ShippingEasy with PayPal
What is Customer Management?
What types of emails can I send to my customers?