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...
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