Technically, no. A direct debit cannot be made against a card, as it goes through SEPA, and must be made against an account.
However, similar function is achieved through a Recurring Card Payment (continuous payment authority). A lot of subscription services allow payment this way through cards.
It really depends on what you're trying to pay, and if the supplier can set up as a card payment.
In relation to your specific question re 3 money card, I'm a bit confused, but you might be using the wrong terminology.
It's not possible to set up a DD, so I'm not sure what you're trying to achieve? You can 'push' the money from your bank account, so a standing order would work. Or you can 'pull' the money from a debit card.
What are you trying to do, in plain English, and you'll get advice.
Edit: I think I misread your post - are you trying to top-up the 3 card, or you want to pay a direct debit using the 3 card?