Amazon has released a software update for the current-generation Colorsoft and Paperwhite that lets you double-tap on the sides or back of your Kindle to turn the page.
The feature is listed in the release notes for the 5.18.1 update and can be found in Settings > Device Options.
Double-tapping on the Colorsoft allows users to jump to the next page or scroll down a long list of books with light taps, but it only works in one direction, and triple-tapping could be considered in future updates.
The functionality is similar to iOS's back tap, and it is hoped that it works more reliably.