No, it can't - and that's without even having tried it.
Google is such a strong brand it's become a verb. You're not going to replace a verb!
Google will face competition at some point, but I seriously doubt it will come from a search engine as we know them now.
We know what Google does well, how to use it and when to use. Hell, my mom figured Google quicker out than the on/off button on her Apple. Even if a better search engine came along, they'd be fighting an uphill battle. Google are continuously updating their algoritm and improving their search results and experience. Search is where Google rocks and are pretty damn unbeatable....if a serious competitor showed up they have the resources to simply buy their technology.
They've had 10 years of perfecting their algoritm, the resources to keep doing so and buy any interesting start up in sight as well as one of the most powerful brand names in the world right now. How does a start up compete with that?