Not in JIRA, as JIRA isn't really for that.
But it is in JIRA Service Desk. It's not what I think you are really talking about, but JSD has "Automation" that can do this sort of thing.
There's a rule for Automation that shows as "Keep on top of SLAs" - that should enable you to set up a form of escalation. Have a look at Project Settings - Automation.
Hey admins! I’m Dave, Principal Product Manager here at Atlassian working on our cloud platform and security products. Cloud security is a moving target. As you adopt more products, employees consta...
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