The Constitutional right is granted by the Sixth Amendment:
In all criminal prosecutions, the accused shall enjoy the right to a speedy and public trial, by an impartial jury of the State and district wherein the crime shall have been committed ...
If it's not a criminal prosecution, I don't think there is any Constitutional violation. I am of the opinion that anyone who wishes to be tried by a jury should have the right to do so, but that is only my personal opinion and not anybody's right.