Yes - that's how I did the health check in the USA. My office mailed the official Chinese/English form, which I had the US medical rep fill out after I completed the physical.
There was some discussion about whether I'd have to have the completed forms notarized and then authenticated (city, state, federal) - but we fortunately got that request squashed.
There was also some discussion about having this crud translated, which would then require notarization and then the profane and obscene authentication process, but got that quashed also.
The next thing I was asked to do - go to a Chinese Embassy/Consulate and have the health check done yet AGAIN by a health clinic certified and designated by the Embassy/Consulate, AFTER I'd completed the local health check in the USA.
The Chinese Consulate asked me who was directing me to do these things, as they have NO REQUIREMENT for a health check and they have NO DESIGNATED health check clinic, so that inane request quashed also. They also noted - they'd been receiving a LOT of these non-sensical requests. Please note - they were prepared to honor the request by telling me to have everything notarized and authenticated - if it was absolutely mandated by some government agency in China...what a nightmare.
By this time - it's clear someone is making things up, utterly unrelated to work visa requirements. It was apparently originating from the new provincial office staff involved in this newly implemented process.
To reiterate - Yunnan is part of a nationwide pilot to revamp the foreign expert and work visa system (and probably also the student visa and every other type of visa). It seems they're trying to go digital and move away from paper records (yay!). The work invitation letter and the temporary work visa are barcoded and MUST be additionally entered into the MOFA (ministry of foreign affairs) computer system AND both your invitation letter AND your temporary work visa approval certificate (?) must be specifically targeted (addressed) to the consulate or embassy handling your "stuff". My "stuff" was initially addressed to the Chinese Embassy - so in a typical catch-22 - the consulate could not verify any of my barcoded documents as they weren't in their system AND the Embassy refused to handle my documents as I was within the consulate's designated "care" zone...so we had to do all the letters over again.
Following up on this - the un-named to protect the guilty provincial office neglected to also enter my letters into the MOFA system...so even though I had the hardcopy originals - the consulate still refused to issue the work visa, because there was no record of me in the MOFA system.
FYI - for those in the USA and especially california - I used a combination of free county clinics (for the STD checks) and low-income health clinics for the health check certificate stuff. Only had to pay for lab tests (not inexpensive) and nominal fees for physicians (or their lower paid counterparts). I'm not even sure I actually saw a board certified MD in this process.
I'm still waiting to hear if I need the supplemental health check, once we transition the temporary work visa to the semi-permanent annual work visa. I've had to have health checks from the designated clinic sporadically, even though I'd never left China during those periods.
I'll bump this thread if the additional local official health is required of me.
As always, with most things in china, your mileage may vary (YMMV).
This new system process is extremely bug ridden - it's quite obvious nobody did a preliminary process walk-thru before they went live with the pilot. The pilot was the dry run and it was an utter mess for me.