No it won't. You have to use something like Joe's Juice or mix up some Kalk paste and use that directly on each one. They are a pain in the butt to get rid of. Some Peppermint shrimp will eat the smaller aiptasia, but won't touch the Majanos.
You don't NEED a skimmer, but I would highly recommend one for a novice reef keeper. It tends to buffer the mistakes you will make, by lowering the disolved wastes.
