Can I connect my android phone to the LAN, via an ethernet cable?

I want to connect my Galaxy S2 HD LTE SHV-120S Android version 4.0 (rooted) to the internet via a LAN connection. I am sensitive to wifi and network radiation, hence want to make a line connection and keep my phone on airplane mode. BobjGear mentions some tablets have the required settings, but no phones. I have an OTG cable, a USB LAN adapter, and a usb cable. I did not find any ethernet drivers on Google Playstore. Would CyanogenMod or Ubuntu OS have this support? If it is not possible with this phone, which phones can be configured for it?