IMO if Nomadic says 'move' it includes all rules which use the word 'move' in it. So I say YES.
If Nomadic would say you can 'relocate' a ship I would say NO (but it doesn't, so YES)
I totally agree with the difference between 'move' and 'relocate' however the Nomadic card DOES say 'relocate'
Transport between neighboring planets
Once per turn, spend an action to relocate one of your ships....
Therefore the transport ability cannot be used and there is no attacking