No, but you're talking about aesthetics, not health care in general.
You can not get modern levels of health care without electricity. A vast majority of diagnostic equipment would not work (no dental x-rays or CAT scans), no pacemakers, no defibrillators, etc.
Electricity is used in other industries, like mining, to produce quality materials used in medical devices, surgical tools, plastics, and probably every single other currently used technology in medicine. The drug industry would be nearly non-existent without computers and other tools needed to precisely manufacture the drugs. You need steam for an autoclave, but I'm assuming you mean steam like steamworks, not hot water vapor.
Additionally without the communication networks provided by those technologies emergency medical care would be severely limited in response time.
Overall, without electricity or steam, medical technology would be incredibly limited. It would be no where near our modern abilities.
If all you want is for your people look good then things are a little easier. However, they're still going to have acne, scars, and bad teeth. We can't cure acne without technology today. Scars will be worse with low quality surgical tools and practices (a lot of exploratory surgery would be required without scanning technology). Nice looking prosthetic teeth might be possible, but will be brittle as the strong ones require materials that are made using electricity.