Well, you wouldn't be "pushing" all the other pages out of the top ten. There would be a bit of "dancing" while the "unwanted" page(s) got kicked off the dance floor.
As I stated earlier, this topic can get very deep and bring out all kinds of great discussion. I'd prefer not to assign any hat colors to anything. Let's just discuss the methods that "could" be used to assist a company in getting unwanted content either removed from or, "bumped down" in the SERPs. I can tell you from experience that all sorts of technology is being used for Reputation Management. ;)