Someone who carries out medical procedures in a UI

Solution 1:

They're called practitioners

Lexico:

A person actively engaged in an art, discipline, or profession, especially medicine.

dictionary.com:

a person engaged in the practice of a profession, occupation, etc.:
a medical practitioner.

As far as finding a term that limits this to people who perform hands-on procedures, I don't think there is one. I don't think there are practitioners who are so specialized -- even a surgeon may sometimes prescribe medicines. However, I don't think this term is often used for pharmacists, who only deal with drugs and don't perform procedures.