All pasta needs to cook is hot water, it doesn't even have to be plentiful hot water at that. Kenji over at serious eats food lab just did an article about it. (link http://www.seriouseats.com/2010/05/how-to-cook-pasta-salt-water-boiling-tips-the-food-lab.html) As your mircowavemicrowave is very good at heating water it shouldn't be a strechstretch to cook pasta in it. I would say that i would try it a few times with some cheap store bought at first because all mircowavesmicrowaves vary in terms of wattage and eveness so the amount of time it will take to get the water correct will vary greatly one to the other.
Also you are going to have make sure that there isn't any noodles uncovered as the microwave will turn them crunchy immedaitelyimmediately. You will also have to stir a few times over the course of the cook to make sure that you don't get clumps.
Homemade pasta in particular needs very hot water to start so you will need to bring the water up to temp before adding the pasta.