Well now you can with the launch of Google SearchWiki.
Create your own SERPs (Search Engine Results Pages) with Google’s latest end-user enhancement - SearchWiki. Strictly speaking it’s actually a re-launch from a previous experiment only now it’s official and its got a name.
How it works
It’s all fairly straightforward. Two icons appear next to each natural search listing page to allow you to re-order the results. Yep… I kid you not!
The up arrow lets you move a result higher up the page. Once you’ve moved a result higher, a down arrow appears so that you can move it back down the page if you wish. The icons will turn bright green once you’ve made an edit to remind you that you’ve edited the result. The X icon will delete the result. A further icon (text bubble) lets you make comments on a listing for others to see.
Remember, the changes you make only affect your own searches and if you want to save the changes you make the next time you run the same search, you’ll need to be logged in to a Google account.
Have fun. Things may not be quite the same from now on.
Here’s more from Google:

