Is it possible to change the names of the ports on the iConnectMIDI2+?

You can change the port names on the iConnectMIDI2+ within the MIDI Info section of the iConfig application. After changing the names you will need to Save your setting to the Device in iConfig.

If you are using a Mac then disconnect iConnectMIDI2+ from your computer. Open Audio MIDI Setup and delete any iConnectMIDI2+ images that are in the MIDI window. When you reconnect the iConnectMIDI2+, the Mac will retrieve the new names.

To have the custom names reflect on an iOS device, you need to reset the iOS device. You can do this in Settings/General/Reset/Reset All Settings. The “Reset All Settings” option will not delete any of your media or data. After doing this, the new custom port names should be displayed on your iPad. Do NOT tap the "Erase All Content and Settings" - that choice will remove all data and media on your iOS device! 

Unfortunately at this time, Windows computers are not able to reflect these changes.