Do criminals have to pay for the health care of the victims they create rather than the cost falling on the taxpayer in your countries?

I just read a reddit post where someone's family member intentionally caused them a medical issue that required an ER visit. One of the comments was to press charges, and a reply was to also make the perpetrator pay the medical bills. The country wasn't specified, so I started thinking:

In a civilized country with health care, would a criminal be required to pay the health costs of the victim they created rather than have it fall upon the taxpayers? Or maybe some sort of program where the criminal has to pay it back later?