Implement any and all for pyarrow numpy strings

pandas/core/arrays/string_arrow.py

@@ -553,3 +553,16 @@ def value_counts(self, dropna: bool = True):
         return Series(
             result._values.to_numpy(), index=result.index, name=result.name, copy=False
         )
+
+    def _reduce(
+        self, name: str, *, skipna: bool = True, keepdims: bool = False, **kwargs
+    ):
+        if name in ["any", "all"]:
+            arr = pc.and_kleene(
+                pc.invert(pc.is_null(self._pa_array)), pc.not_equal(self._pa_array, "")
+            )
+            return ArrowExtensionArray(arr)._reduce(
+                name, skipna=skipna, keepdims=keepdims, **kwargs
+            )
+        else:
+            return super()._reduce(name, skipna=skipna, keepdims=keepdims, **kwargs)

pandas/tests/series/test_logical_ops.py

@@ -513,3 +513,21 @@ def test_int_dtype_different_index_not_bool(self):
 
         result = ser1 ^ ser2
         tm.assert_series_equal(result, expected)
+
+    def test_any_all(self):
+        # GH#54591
+        ser = Series(["", "a"], dtype="string[pyarrow_numpy]")
+        assert ser.any()
+        assert not ser.all()
+
+        ser = Series([None, "a"], dtype="string[pyarrow_numpy]")
+        assert ser.any()
+        assert not ser.all()
+
+        ser = Series([None, ""], dtype="string[pyarrow_numpy]")
+        assert not ser.any()
+        assert not ser.all()
+
+        ser = Series(["a", "b"], dtype="string[pyarrow_numpy]")
+        assert ser.any()
+        assert ser.all()