Does mobile Google Chrome support browser extensions?

Extensions are not supported, see: https://developers.google.com/chrome/mobile/docs/faq .

Specifically:

Does Chrome for Android now support the embedded WebView for a hybrid native/web app?

A Chrome-based WebView is included in Android 4.4 (KitKat) and later. See the WebView overview for details.

Does Chrome for Android support apps and extensions?

Chrome apps and extensions are currently not supported on Chrome for Android. We have no plans to announce at this time.

Can I write and deploy web apps on Chrome for Android?

Though Chrome apps are not currently supported, we would love to see great interactive web sites accessible by URL.

You can use bookmarklets (javascript code in a bookmark) - this also means they sync across devices.

I have loads - I prefix the name with zzz, so they are eazy to type in to the address bar and show in drop down predictions.

To get them to operate on a page you need to go to the page and then in the address bar type the bookmarklet name - this will cause the bookmarklet to execute in the context of the page.

edit

Just to highlight - for this to work, the bookmarklet name must be typed into the address bar while the page you want to operate in is being displayed - if you go off to select the bookmarklet in some other way the page context gets lost, and the bookmarklet operates on a new empty page.

I use zzzpocket - send to pocket. zzztwitter tweet this page zzzmail email this page zzzpressthis send this page to wordpress zzztrello send this page to trello and more...

and it works in chrome whatever platform I am currently logged on to.

Some extensions like blocksite use the accessibility service API to deploy extension like features to Chrome on Android. Might be worth a look through the play store. Otherwise, Firefox is your best bet, though many extensions don't work on mobile for some reason.

https://play.google.com/store/apps/details?id=co.blocksite&hl=en_US

Just use a different browser. Follow the steps given below to install Chrome extensions on your Android device.

Step 1: Open Google Play Store and download Yandex Browser. Install the browser on your phone.

Step 2: In the URL box of your new browser, open 'chrome.google.com/webstore’ by entering the same in the URL address.

Step 3: Look for the Chrome extension that you want and once you have it, tap on 'Add to Chrome.’

The added Chrome extension will now be automatically added to the Yandex browser.