A long way off from PostgREST, but you might be able to hack together something sort of similar with Datasette [0] and the new JSON api. Not out of the box at all, but the potential is there to get a similar product.
[0]: https://docs.datasette.io/en/latest/json_api.html#the-json-w...
[1]: https://simonwillison.net/2022/Dec/2/datasette-write-api/