Yes! The full name in your edX account is the name that is used for certificates. At any time, you can change your full name in your account settings. After you change your name in your account, any certificates you have earned will automatically update to reflect the change. For older PDF certificates earned before October 2015, after you update your full name, contact our support team to request an updated certificate.
For step by step instructions for updating your name in your edX account, see How do I change my name on my account?