There are; google "medical tourism" - that being said there is some potential liabilities in that business...

I don't know about businesses, but a lot of people go to Thailand for dental care or boob implants.

I was about the mention Thailand and Taiwan as two popular medical tourism places.

You're out $1-2k on the ticket, but paying a tiny fraction for great healthcare.

You just can't sue anyone later (but that is maybe a good thing).

Oh, there is! Here's a list of such businesses (on the right side of the page): http://www.patientsbeyondborders.com/facilitator

As others pointed out, this medical tourism niche definitely exists and so does dental tourism. Getting a root canal while taking a mexican or thai vacation.