The simple answer is no - there are some misunderstandings that I need to clear up for you:
The audio and video frequencies you have coupled in an old fashioned TV signal are so far apart that there is no overlap. (Audio 20Hz to 20kHz, and video is up around 4MHz) When the signal goes to the TV, the audio frequencies are decoupled, then the horizontal and vertical sync, colour burst and intensities are taken out through an entirely different circuit.
For more modern TV's, the audio and video signals are actually carried on different wires, so there is no chance of using one for another. And for the most modern setups, audio and video are digitised, along with meta information - again, this will make it impossible to misuse the audio as a video signal.
Generally, if your TV requires a video signal, what it is really looking for is a Sync signal - so you will need something to generate this, whether you use an old laptop plugged into it, or a signal generator or something else.