I don't think so. The IEC plug should have the same pin arrangement as the wall plug -- imagine it's nothing more than an extension lead. Doing anything different would require "re-arranging" the wires in the bundle or the connectors, which makes little sense.
Nope. The pinout of IEC 60320 C13 & C14 connectors is *supposed* to be well defined
*, with the C13 trailing female connector or outlet connector, wide side down, face view, being
NGL and the C14 inlet or plug, wide side down, pin view, being
LGN. The pin order in the wall socket is dependent on your national electrical wiring standards, so the cord may need to cross over the L and N wires to maintain the correct order. Various countries in the EU with sockets compatible with the Schuko CEE 7/7 plug are particularly problematic as their sockets are non-polarised, but the Shuko CEE 7/7 plug itself *does* have a defined polarity as it fits French CEE 7/5 polarised sockets.
There is additional confusion when dealing with non-technical people as they tend to call anything on the end of a cord that fits into a fixed connector a 'plug' even if it has female contacts and call a chassis mount recessed connector with male contacts a 'socket'.
* However, you'll have a hard time finding the pinout in any official IEC document that isn't behind a paywall, and its equally difficult to find a reputable manufacturer of IEC C13 & C14 connectors that actually gives a wiring diagram for their product