@QasimRashid This is a thing that exists

The 5th Amendment of course is the broadest example of this concept

Section 1915(d) of Title 28 of the United States Code allows federal judges to appoint a lawyer for people who otherwise cannot employ a lawyer.

The Criminal Justice Act allows judges to appoint a lawyer to indigent clients

Many states have similar laws many of which allow courts to compel bar members to represent a client.

There is also a famous supreme court case I cant remember.