According to the Danish Act on Public Payments etc. (Lov om offentlige betalinger m.v.), payment of owner's tax/vehicle weight tax must be made via the issued electronic giro form payable via Danish online banks.
If you do not have an account with a Danish bank, you could contact your non-Danish bank and have the payment made via a correspondent Danish bank or, alternatively, set up an account with a Danish Bank and thereby gain access to online banking services.