Not from what I have read. He was moved to host him out of an interest in free speech.
But Harris agrees with him (or at least takes Murray's work at face value) and thinks he's a good scholar and person. Oh and he's called Murray "the most unfairly maligned person in my lifetime."
Let's put that aside, though, because i think the "free speech" angle here is a bunch of rot. Murray faced a ton of criticism and has been subject to deplatforming from a few speaking events IIRC. But he also publishes books that get lots of press (no doubt the controversy helps there), gets regular op-ed space in leading publications, and enjoys a well-paid and prominent sinecure at one of the biggest conservative think tanks in America. There's no way this guy has been "cancelled" or "silenced" or had his free speech rights infringed upon in any meaningful way. If Harris had him on in the interests of free speech, then his definition of free speech is "people should be able to say what they want without criticism or consequences," which is absurd.