No. You need to be booked on a package with at least a 1 day base park ticket. THere is an exception for some DVC reservations, but I don't know the details on that.
If you have an AP, you can also get the dining plan without buying a ticket. However, it woud be considered a package, and subject to the same payment and cancellation rules.
Which room only discount are you using? If it is the military room discount you are able to add a dining plan to it. I found this out when I was booking our rooms and thought it was great that they offered it.
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