fix stringdtype issue

Author: KevsterAmp

pandas/core/arrays/arrow/array.py

@@ -1478,10 +1478,12 @@ def to_numpy(
         return result
 
     def map(self, mapper, na_action: Literal["ignore"] | None = None):
-        if (
-            is_numeric_dtype(self.dtype)
-            or pa.types.is_date(self.dtype.pyarrow_dtype)
-            or pa.types.is_timestamp(self.dtype.pyarrow_dtype)
+        if not is_string_dtype(self.dtype) and any(
+            [
+                is_numeric_dtype(self.dtype)
+                or pa.types.is_date(self.dtype.pyarrow_dtype)
+                or pa.types.is_timestamp(self.dtype.pyarrow_dtype)
+            ]
         ):
             return map_array(self.to_numpy(), mapper, na_action=na_action)
         else: