Yes you can!
If you go to administration>projects click the project, then select "Roles" on the project overview, you can select what permissions the user can have on a project level, as opposed to a system level.
Here is more info:
I’m a designer on the Jira team. For a long time, I’ve fielded questions from other designers about how they should be using Jira Software with their design team. I’ve also heard feedback from other ...
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