It is possible to run wiring within a ceiling cavity and have it completely hidden. Take down lights, AC grilles, skylight trim, lights, etc. to give access and then fish wire from opening to opening. If you have to, you can enlarge the hole behind a surface mounted light. You can also run inside cabinets and interior walls. The photos below show some wiring I've done. The 1st photo shows where I pealed back the luan plywood in the pantry cabinet for access. The 2nd photo shows the radio removed to access to an existing hole in the ceiling and one in the wall. You may need an electrician's fish tape (cheap at HF) or metal coat hanger wire. May take some time and require patience.
If you already have the typical wall/ceiling plate like in the 3rd photo, it already has a spare connection for a 2nd TV. If you don't have this, you'll need a splitter which could be added behind the existing plate with a co-ax outlet.


