Yes, it is possible to verify  NETELLER Account via Facebook. I’m trying to write step by step here.
If you chose to verify your NETELLER Account via Facebook, you may instantly complete the account ownership and address verification steps of the verification process.

To verify your identity via your Facebook profile, please follow the steps below:

1. 1. Within the Verify Your  Account section in your NETELLER Account, click on Verify with Facebook.
   2. Next you will be redirected to your Facebook log in page. You need to log into your Facebook account to continue.
   3. Once you are successfully authenticated to Facebook, you will need to consent to share your information by clicking on the blue Continue button.
   4. The verification via Facebook takes a few seconds. Once the verification is successfully completed, you will receive a confirmation message and you will be prompted to continue with the remaining identity verification steps.

Note: to successfully verify your identity via your Facebook profile the name, date of birth, address and email address on the provided Facebook profile should match the ones registered into your NETELLER account.

Thanks you very much for your question.