Yes, some providers offer this service. Your provider can request to be the payer of your .dk domain name, when the first registration period expires and the domain name must be renewed (typically after one year). When your provider is the payer, you will not receive an invoice from DK Hostmaster.
If you do not want your provider to pay for your domain name registration, just reject the provider's request and pay the invoice that DK Hostmaster sends to you instead.