No, that won't work. Lactose needs a particular enzyme to break it down, lactase. Boiling the water will not break it down. Taking Lactaid or something like that, which contains the enzyme you can't produce, should help.
Boiling milk is recommended for lactose intolerant people because it helps break down the natural sugars in the milk. Contrary to popular belief, it doesn't reduce the amount of lactose.
I found that I was able to drink milk after boiling it when I used it in a recipe for eggnog. I only looked this up on your site to verify that it truly works. Normally I have to drink powdered milk because of lactose intolerance.
Boiling milk for 10 minutes or longer will help break down the lactose. However, an easier option is to eat yogurt, which has had the bacteria break down the lactose.