The closest thing is this:
https://rollibot.com/product/mini-split-ac-room-air-conditio...
but it sucks.
I don't understand why these things have to be permanent fixtures of your house, necessarily.
https://www.gradientcomfort.com/pages/products-air-condition...
https://www.achrnews.com/articles/147122-midea-heat-pumps-to...
I'd love for NYC to mandate that ACs must function as heat pumps: the additional parts are cheap, and as America's largest market for window AC units, the NYC market would force competition for much cheaper heat pump window units.
This isn't great if you want a building with hydronic heating and forced-air cooling, which is really just the ideal form of both technologies — hydronic cooling creates condensation, while forced-air heating smells bad and leaves you with cold feet.
Also, I found that Home Depot's website tends to be pretty clear about which window units are also heat pumps.
Edit: Nevermind I'm an idiot. From the spec page of that unit: BTU (Cool): 11,000 BTU, BTU (Electrical Heat): 3,500 BTU, BTU (Heat Pump): 9,900 BTU. Though the owner's manual mentions an extremely warm minimum outdoor temp: "The unit should be operated in a temperature range of indoor side 60°F - 90°F (16°C - 32°C), outdoor side 64°F - 109°F (18°C - 43°C)."
For cooling this exists in many forms: there are the window air conditioners, and "portable" window air conditioners which have a duct that connects to the window. The problem with the latter is that they're loud and the ducts result in a lot of heat loss.
For heating there are some portable air conditioners that use a heat pump but they're subject to the same issue described above. More common is resistive electrical heat in the form of coils or an oil filled container that radiates heat.
A portable mini split, where it connects through the window would give you a similar advantage as a portable air conditioner, but with more efficiency and being less loud.
if this were popular you'd see old houses retrofitted with pluggable holes where you could feed the lineset through and seal as necessary for temporary heat/cooling, or perhaps even permanent.
the installation would be substantially easier if these were like 6000BTU instead of minimum 12000BTU per head, so it could be run on say, ~8 amps and be plugged inside.
The only problems I can see are:
-Size/Price ratio: The tonnage (9,000 BTU) is relatively low for its price--it can only condition a ~375 sq foot space. Though the lack of install costs probably makes up for this unless you're doing a DIY job with a Mr. Cool Ductless HP.
-Incentives: Utilities may not want to spend energy efficiency incentive dollars on these, since someone could easily move and take the heat pump outside of the utility territory; which is not a problem with permanent HVAC installations. Might be covered by the IRA's rebates for Heat Pumps though.