I believe you can. I tried it with my M8s box but haven't yet with the Shield. Use ES file Explorer, go to network and add android tv and add the Shield. Now i believe you have to have the app installed. There will be a section on ES File titles "APP" go to that find your app and long press it. One of your options will be install to phone or install to Android tv. Choose TV and it installs.Great application @imtiajmeah !
..but, this gives me an idea, can I install apks by sideload directly from my phone?
Thanks!