Not sure why you have any doubt on this question, the rules are dead clear, and right at the top of the section where you'd expect it.
Re: Moving ships and delivery
3.4) Ship move (AC colors are unimportant)
On his turn, a player may move his ship as often and as far, with any number of direction changes as he wants...
As often says you can move multiple times. The only thing you can do in between moves is deliver.