If I permanently disable my Fiverr account. Then I will create a new Fiverr account. Can I add my old Payoneer account to the new Fiverr account?
No. You have to have a different email and payment method.
Now, you could go through customer service and ask them if you can close your account, create a new one and use the same information - but, on your own, no, I wouldn’t do that. You would be risking your new account being shut down for opening more than one account. (even though one is disabled or deactivated)
Why do you want to deactivate your existing account anyways?
Can I add my old Payoneer account to the new Fiverr account?
No, you can’t. You have to use a different payment method.