No. Priorities are an absolutely fixed list.
Resolutions are also a fixed list, but you can include/exclude them from the field in the workflow. It's a really ugly clunkly workaround, but can be made to work.
See what's top of the voted-by-users list at https://jira.atlassian.com/browse/JRA-3821
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...
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