I did it
From the bosun chair, remove the old light and snake a new set of wires down into the hole. Hopefully they will be able to descend to the base of the mast. (If not, there may be an obstruction, like a wad of foam rubber.) After you have used up your normal expletives and nearly fallen out of the chair, your luck will have run out and you will have to drop the mast and fish-out the obstruction. (Sorry)
However, if luck is with you, your wires will be inside at the base of the mast. Now, from inside the head, remove that piece of wood corner trim that covers the old wire. (Now for the trick) You must have a magic little tool. A retrieving wond from the auto parts store. This is a flexible, hollow cable, about two feet long, with a spring-loaded, three-prong set of fingers inside. When you depress the red button on the end, the spring-steel fingers deploy to grabb stuff. (You know). Well, stick it up through the hole in the ceiling and go fish. You should be able to grab your new wires and pull them down.
Suggestion: You might try using a heavier gauge, solid wire just to make the thread. Choose something that wants to stay straight without curling up and maybe even find its' way through the old foam wadding. Then you tape your new supply wires to that and pull it through.
One last thought... If you really don't like the idea of going up the mast in a little chair and swinging around, then don't do it. You might fall and hurt your boat.