Sadly not. Form an audio frequency perspective, noise is many different frequencies. The human voice pretty much matches human hearing.
A voice is not one frequency, that’s a tone. We’ve constructed systems that throw away much of the voice frequencies whilst still being understandable. Telephone calls, digital radio communication, etc.
That’s not to reduce noise, it’s to cram more calls across the same link. There’s a side effect that does reduce noise to some extent, but not significant enough to remove construction noise.