Yes, if you have a VPN on your phone. I'm not sure how exactly to do that but I do know it's possible because I have several friends with VPNs on their Android phones who use Facebook.

Being an android user, you can't use fb without a vpn in China. If your looking for someone to tell you how to write your own programming to run a vpn on your phone, you're on the wrong type of forum (and I'm way too lazy). Try searching the android market for an app that you trust for said vpn.

Yes, it is possible if you bought your phone outside of China or put some foreign firmware onit. My LG was purchased in Europe and I manually flashed some open European firmware where Facebook is installed. It works with China Mobile WITHOUT any VPN settings.

For a rooted Android phone, I strongly recommend Friedrich Schäuffelhut's OpenVPN in the Google Play Store.  It's free and it's open source.

Just make sure your VPN server supports VPN connections.  I have a Linux box in the USA that I run 24/7 and just OpenVPN into it from here in China from my laptop, from my phone, and from my HP Touchpad Tablet.

Here https://www.vpnanswers.com/set-l2tp-vpn-connection-android-lollipop/ you can get free access to the internet using your Android using L2TP configuration and OpenVPN application to get almost 6 connections on different devices at the same time.