No, Android Messages for Web is currently not available on DP3. It is only available on iOS devices, Android devices, and desktop browsers. You can learn more about it here: https://support.google.com/messages/answer/7663640.
If you are looking for an alternative messaging experience on DP3, you can try out other third-party messaging applications. Apps like WhatsApp and Telegram might be able to provide the same features and functionality you desire.