Does this household device exist?

Factual Questions
1

I have an outlet on one side of the room that’s connected to the wall switch. On the other side of the room is a non-switched outlet with a lamp plugged into it. I want the lamp to be switchable by the wall switch, but I don’t want to run an extension cord across the room on a permanent basis.

So I envision a two part device. Part A plugs into the switched outlet, and consists of a transmitter, and maybe an extra outlet so you don’t lose use of that outlet. Part B plugs into the un-switched outlet and provides an outlet to plug the lamp into, as well as a receiver. When the wall switch is on, A sends a signal to B. As long as B gets the signal, it provides power to the lamp. When the wall switch is off, the transmitter gets no power and shuts off. B sees no signal, so it cuts power to the lamp.

Viola, the unswitched outlet becomes virtually connected to the wall switch.

So does this exist? Or anything like it?

2

Yes. They are remote light switches. Available all over the place.

3

Note that the switch part of those doesn’t plug in though - it’s usually some kind of battery powered RF or IR sender than just sends a signal to the receiver when you switch it on or off. I had one of those a few years ago that sometimes took more than one try to get turned on or off.

4

Hmm… yeah, that’s close. Maybe close enough. But I don’t want to install a second wall switch when I already have one, and I don’t want a remote that I can lose. But at least now I have the right search term to look for. I wasn’t even sure what to call such a switch-switching-doodad.

5

Yup. We’ve got most of our living room lights on remote switches, because they’re behind other furniture and hard to get to.

I think they came from Lowe’s or somewhere similar.