it allows the company to see through the eyes of the person
The human eye is roughly equivalent to a 15 Megapixel camera and has a frame rate around 60 fps (your visual system is way more complicated than that but it's a useful analogy). If your brain-chip is recording using 24-bit color, it's having to process ~2.5 GB of uncompressed video data every second. Processing and transmitting that much data will require significant bandwidth and power.
Blocking the chip's transmissions should be easy enough: either block the signal (shielding or a Faraday cage), drown it out with EM noise, or set up a counterfeit base station for the chip to transmit to (similar to how some law enforcement agencies intercept and re-route mobile phone traffic). If the chip can detect communication failures and buffers the video feed for later transmission, defeat this easily by blocking the signal for a longer period of time. Given the rate at which video data is being generated, buffering will be limited to fairly short bursts. Block the signal for longer than the buffer length and some of the data will have to be overwritten before it can be transmitted. If you can't block the signals, you can always use the Spartacus defense. Hack many people's chips to all report the same person ID. When the company receives a flood of different signals all claiming to be Spartacus, there's no way to tell which video stream is the real Spartacus and which are the imposters.
The fact that the chip needs to transmit means that the chip has an antenna of some sort and isn't completely shielded. A strong rotating magnetic field (an MRI machine, for instance) could induce enough electrical current to fry the chip or melt the antenna.
The other way to disable the chip is by attacking its power source. If it runs off of an implanted battery that has to be occasionally recharged, simply "forget" to recharge it. If it runs off of the electrical energy produced by your nervous system, reducing the amount of available energy (via drugs that inhibit the nervous system, extreme starvation/exhaustion, etc) should disable the chip. I'm assuming the chip includes a protocol to shut itself down in such cases to help the host survive (the chip wouldn't seem useful if it killed the host).
In the real world, video processors can be hacked by forcing it to process a carefully-crafted video stream that exploits defects in the processor's design, causing it to do things it was never intended to do (such as run code written by the attacker). This becomes much more interesting when that video stream comes from the eyes, as it means that looking at a certain painting or watching a certain video clip could cause the implant chip to crash and give the person a short window of time before the surveillance system comes back online.
You said surgery isn't an option. If you only meant that to mean invasive surgery, then something like the "Gamma Knife" procedure could be effective. Many small beams of radiation are fired at the patient from different angles. Each of them is far too weak to affect anything. They all converge at a single point, though, and at that one point their combined power is capable of burning away tumors. A system like this could non-invasively destroy or disable the chip permanently.