You can not add a task under a story. You can add sub-tasks and that's it.
Not sure if there is an add-on in JIRA cloud or not but JIRA Server has options like Structure which can bring in a hierarchy inside JIRA.
There is nothing to stop you creating a sub-task type called "task", although you will need to rename the parent-level "task" to something else first.
By default, JIRA Software has a sub-task type of "technical task" which is a way to avoid the naming clash, but you should feel free to use whatever names that work best for your organisation!
Hey Community mates! Claire here from the Software Product Marketing team. We all know software development changes rapidly, and it's often tough to keep up. But from our research, we've found the h...
Connect with like-minded Atlassian users at free events near you!Find a group
Connect with like-minded Atlassian users at free events near you!
Unfortunately there are no AUG chapters near you at the moment.Start an AUG
You're one step closer to meeting fellow Atlassian users at your local meet up. Learn more about AUGs