In this case, it's a professional regulatory body.
But in other cases:
Of course it is. It just is subject to limits, like any other right.
You have freedom of movement, but there are limits, regulations, and consequences. You can't go anywhere you please, you need to travel at the speed limit, and if you violate enough regulations it's either a fine, a suspension of driving licence, or even incarceration.
The Second Amendment exists in the US, but you forfeit it if you're incarcerated, and you can't open carry your AR next to the President.
Freedom of speech exists, but you can't say anything you want or broadcast pornography on federally regulated airwaves, there's the yelling fire in a crowded theatre example, and you can't libel or slander.