No, they're numerical because it works with numbers.
Best you can do is agree with your users what number a shirt-size should be. Or use a custom field for it first, and use story points for more accurate numbers afterwards
Further to the reply from @Nic Brough [Adaptavist] there are lots of reports and other actions built around the story points and these would not function if you used a shirt-size approach. In particular you may consider the scope size for a sprint, the epic/release burndown report...
I have multiple projects that use variations of the same base workflow. The variations depend on the requirements of the project or issue type. The variations mostly come in the form of new statuses ...
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