The built-in reviews feature on Squarespace is currently very basic and doesn't have import or export features (except importing from Etsy).
For more advanced review features, you may want to consider evaluating one of the third party review services that are available, like Judge.me. Assuming you are selling physical products (third party extensions don't yet work for other product types), this is available as a Squarespace extension. Judge.me supports uploading your reviews.
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