Yes of course. Your right to return an item is exactly the same regardless of whether you bought it with a gift card, a payment card, or a combination of the two.
If you paid for your whole order with a gift card, your order will be refunded onto the original payment gift card. Please do keep hold of your gift card until you are sure that you are happy with your order.
If you paid with a combination of payment card and gift card, we'll refund anything you paid for with your gift card first, and then refund any outstanding credit you are owed on to your original payment card.
For third party gift cards, like One4All and Love2Shop; refunds from online orders will go back to the same card, for in-store purchases, refunds will be added to a New Look gift card.