I am sure the do or you can check their website.
GIFT CARDS / JACK CA$H From their website: GIFT CARDS Where can I buy a Jack in the Box gift card? You can purchase Jack Ca$h cards at your local Jack in the Box restaurant, many other retail stores (such as Home Depot, Albertsons, Staples, and Safeway), and online on our website. Click here to complete an order, our gift card partner will ship the card to your desired recipient. What denominations can I purchase a gift card in? Physical cards bought in a Jack in the Box restaurant can be bought at any denomination between $5 - $100. When placing an online order through Gift Card Mall, the card can be valued at $20, $50, or $100. If you are purchasing a pre-valued card at a third-party store, the gift cards can be bought at $15 or $25.
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