@Wyvern-King 

No, only business accounts you can have another name (business name) besides your account holder or account contact name.

If you want to go under an entirely different name, then you must legally apply to change your name on your legal documents such as gov issued photo ID, SSN, passport, bills etc and then you can officially change your legal PayPal account holder name as you would have the docs to prove the name change. If PayPal doesn't let you change your account holder name even with official documents, consider opening a new account with everything under your new name and I mean EVERYTHING.

You can edit your PayPal invoices on the personal account but it may still show your previous name on the payment receipt the recipient gets but if you are so over your previous name, make it official.  PayPal accounts are a real financial instrument and real and verifiable info must be used.