How many moves can I make in a single turn in Maharaja?
I don't have the original rules with me, but based on my memory and rules from BGG:


  7.0 ACTIONS
  
  7.1 Travelling 
  
  Moving an architect is a free action, that does not feature on the action disc. The player may freely move his architect
  at any time during his turn. He may move his architect to a city,
  build there and then move him to another city to build there again,
  and so on.
  
  The only restrictions to moving an architect are: He may never be
  moved through a village in which no house (of whichever player) is
  present; He must sometimes pay for his passage.


I would say - Yes, you can move as many times as you want, even between your actions (And theoretically build in four different cities, or even five with builder special role card in one turn) as long as you can move to them and pay the passage fee.