I am contemplating a project where there is not going to be access to ArcGIS Desktop and wondering if Engine and/or Server install ArcPy and Python? Is this possible? Does anyone have an example?
Python gets installed with every product level, and yes,
arcpy is installed and will work in both, including things like map automation.
At the desktop level you have 32 bit arcpy. And at server you have 64 bit arcpy. Once installed both arcpy will behave same.