No, not really. The only thing ibupofren can do is reduce inflammation, which acne can cause. But it wont actually treat or help reduce acne. In fact, if anything, taking it on a daily (or close to daily basis) would most likely do more harm then good. It's extra strain on your liver, which is responsible for flushing toxins out - so what happens when your liver doesn't properly flush out all the toxins? Well, acne is one possible outcome.
Although something called an "Aspirin mask" some have sworn by as a great-treatment for acne and redness. You can google it and find out how to do that, there are lots and lots of websites that explain about it and how effective it is.