The ability to do a bulk import exists, but if the issue already exists in Aha! it does not re-import.
It would be useful to have the ability to alternately do a bulk update. This is particularly useful in the off chance something breaks with the integration and Aha! & JIRA fall out of sync.
|Release time frame|
It is now possible to update linked records in bulk from Jira. From Settings -> Product, select your integration then click the Update records.