As far as i know the answer is no. Science is always improving and there might be some miraculous system out there some day but the laws of physics are hard to beat.
Noise cancelling headphones work so well because they know the precise direction and location of your ear canal. They use microphones on the headphone to listen to the sound and rebroadcast a cancelling sound that will reach your ear about 100 us later. The physics works almost flawlessly.
It is possible to make such a system but it would only work at one precise spot in the room. Any deviation from that spot would allow certain frequencies to pass uncancelled. At 2 ft (estimate) the system would not work at all.
Just for interest there are systems that broadcasts in the high ultrasonic region (well above human hearing) that are used to produce pin-point audible sound apparently from nowhere. One beam is a constant frequency, the other is FM modulated . The sum of these two inaudible beams produces beat frequencies that are audible to humans but only if you are located at the precise spot where they cross. When you are in the sweet spot it is like someone is talking inside your head.
“Put down that drink, George. You’ve had enough!” .
I predict you will see this equipment in the hands of high priced Russian ‘fortune tellers’ and ‘mediums’ within 5 years. They will be able to demonstrate it live at psychic shows and make a fortune from believers. “Yes! My Grandfather spoke to me! He said not to worry. He is happy here with Grandma!”
Ministers will be able to use these systems too. “Really? Is that all you can afford to put in the plate? You know what you did last week. Toss in an extra $20 and we will call it even.”
Wait until the systems are placed outside store windows with the beams adjusted to cross where window shoppers would stand. “Oh go ahead. You know you want it.”