No, neither the Jira widget, nor the Jira gadgets will allow you to drag and drop Jira issues. I know this isn't the answer you were hoping for and the next part is probably not what you want to hear either, but if I were you, I'd work on why you want separate boards but treat them as combined sometimes and rank them together. You probably have a good reason, but to me it sounds like you need to either combine the boards or rank them separately.
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