Would we have the technology today to televise live a moon landing ?

If Neil Armstrong was the first man to set foot on the moon, who was holding the camera that filmed it?

An expert director at filming moon landings

Maybe n the Nevada desert???

I can see that happening

Yes but it would oddly enough be of a quality commiserate to a circle k heist camera

I would say, "Barely". A geo bird that transmits live video to your roof dish is almost exactly 1/10 the distance to you as our Moon. The Same video signal from the Moon would therefor require 100X the power, 100X the antenna size, or some combination.

Yes, Nasa has large dishes here on this side. But they would have to track the moon; and switch dish to dish as Earth rotated under the Moon. Meanwhile, the Moon dish would require exact aiming...but at least it would remain pointed the same direction. As for power, that Geo bird uses many KW of power obtained from large solar panels. A hypothetical moon video transmitter would need ~1000 watts DC total in my estimation. Antenna RF power some few hundreds of watts.

While this was not done on the fake original mission; A "Real" mission would require a real power source; not only batteries. The best solution would be fuel cells supplied by the boil-off of the return liquid hydrogen rocket fuel. No way a "real" ascent stage is going to be hydrazene.