Default [Q] Charging while otg

Hi,

My HTC J One (HTL22@KDDI) got wet and Wifi dead. I want use it as desktop computer.
OTG for KB,mouse and USB-LAN, MHL for display. And the phone must be always powered.
(I need to find a ROM that support LAN and compile kernel module for my USB-LAN.)

So is that possible to use OTG and MHL at same time while charging the phone?