It's supposed to be the same thing, but in the allergy treatments I had they did acupressure first and then acupuncture. They might be able to do acupressure for all of it but in the second part they're supposed to puncture several different spots (depending on what you need) and leave you with the needles in for half an hour, checking up on you occasionally. Doing that with pressure might be a bit difficult to reach all the spots at once, and therefore more expensive.

You really can't feel the needles once they're in. But if he insists, well... Acupressure would work, you'd just need more people working on you. *Shrug*