Seeking Python Code Generator in ArcGIS Pro

The short answer is no. BUT

You can send a Python command that you have just run to the Python window as shown below

Answer 2 As Aaron has mentioned - have a play with model builder: https://pro.arcgis.com/en/pro-app/help/analysis/geoprocessing/modelbuilder/modelbuilder-quick-tour.htm

and then export to Python: https://pro.arcgis.com/en/pro-app/help/analysis/geoprocessing/modelbuilder/exporting-a-model-to-python.htm

It's also a good way to get started.

There is an ArcGIS Idea named A Macro Recorder for Python for something like this in the ArcMap application of ArcGIS Desktop:

Like the "macro recorder" of Excel, all your manual actions in ArcMap data view are instantly translated in Python commands.

You could post a new ArcGIS Idea there for a Macro Recorder that writes ArcPy code from ArcGIS Pro.

It's not quite as direct, but using Pro's Tasks, you can have the application "record" what you're doing and clicking, and it will add all of the tools, toolbar items, and map views that you click to items in a task.

You can see the specifics in Esri's documentation.

This doesn't necessarily get you the Python, but can identify the specific items you click on by name, which you can then track down in Esri's Python docs. Useful for when the sequence you're recording isn't solely in the GP tool.