on a monthly or weekly basis?
I think you can. A Scheduled Service that will fire up and create an issue using the groovy script calling the JIRA API.
Related topic: https://answers.atlassian.com/questions/133934
Yes, you can write a groovy script, which can create issue(s), and execute it as a service. https://scriptrunner.adaptavist.com/latest/jira/services.html
There is an example of creating issues here: https://scriptrunner.adaptavist.com/latest/jira/recipes/jelly-migration.html#_creating_issues - which you can run as a service.
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