I think it's not a good idea. There are a couple of issues, one is that you want to keep them in your intestines, rather than giving them an incentive to move out. So give them something to keep them there, like some form of glucose. Second, is that if you do get a big worm kill, you want to get the mass of dead worms out of your intestines as quickly as you can, it is a better idea to eat a lot of roughage so that your bowels keep moving and you do not get a blockage consisting of a bunch of dead worms. If you have either a tape worm or round worm infection, they can be surprisingly large critters, and they are pretty toxic.
It's up to you, let me know how it goes, I'm interested in your results if you do try a fast.
Julie

My sister had a huge infection of various kinds of worms and did a fresh, homemade juice fast for several days at the same time she was taking a chinese herb product for parasites. If you do this make sure you take bromelain capsules (a pineapple enzyme) to break down the protien (worms) to avoid a blockage in the intestines. She did enemas twice every day while fasting, and could easily see what came out.... she passed several tape worms along with other kinds.

Why do you think you need both kinds of parasite cleansing products at once? I would be afraid it would be too much at one time. I think it may be better to do one cleanse, and wait about a week to 10 days before starting the next product. You don't want to give your body more detoxing than it can handle... Both products work alone.