Indeed. In the US corruption has been legalised. For example healthcare - in a corrupt third world country you might expect to hand cash under the table in order to see a doctor. In the US, that cash goes over the table.
high cost itself is a likely outcome of corruption, but insufficient evidence to demonstrate corruption.
The high cost of health care in the US is due to a large number of factors, one of which is lack of transparent pricing, anti-competitive practises in insurance companies, and lack of public-purchasing power for health care. Very little is due to "corruption".
