You can't import a haircut because it really is technically and practically impossible or because bureaucracy has made it impossible for outsiders to enter the haircutting business? Let me remind you all that in the US you need a license to cut hair. Let me repeat that, in the US you cannot cut hair without the government giving you permission.
I think it is perfectly within our abilities to build lets say some kind of smart-helmet that cuts hair and can be imported from the same countries that build smartphones, drones, watches, shoes, etc. I'm open to other ideas.
You can technically automate hair cuts (badly, but it is technically possible, most wouldn’t want to pay for it yet).
You can buy an electric hair trimmers and give yourself a standard length.
But there are no robots for remote-controlled hair cutting. Until there are, you can’t import them.
This is why haircuts are expensive even outside of the USA, and why they vary in rough accordance with the local cost of living.
The other big inflator is rent - the cost of land and buildings. At this point the Georgists would like a word about land value taxes.