The newest build (58.0.3020.0) of Chrome Canary, Google's experimental browser, includes support for the Touch Bar built into the 2016 MacBook Pro, indicating Touch Bar support will soon be added to the Chrome browser.
On the Touch Bar, the current Chrome Canary build offers a search/URL bar, forward and back buttons, a refresh/stop option, a button for opening a new tab, and a button for adding a new bookmark.
It's much a simpler implementation than Touch Bar support in Safari, which includes preview tabs for quickly switching between windows. There are also no controls available for video or music playback in the browser.
Features are tested in Canary before being added release builds of the Google Chrome browser, so Touch Bar support is expected in Chrome 58, set to be released during the week of April 25th.