frankly, I don't understand what you are trying to achieve: do you want a) to filter list of issues shown on board to only those that have some due/delivery date entered or b) graphically divide all the issues based on some date ranges?
I think that should be doable by swimlanes based on Queries:
Please note that Delivery Date is not a Jira built-in field, rather your own custom field, so check how it is spelled and if doesn't exactly match how I spelled it, fix it in the query.
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