In the Star Trek sense, anything is possible; if the people making the device had desired to expose the state of the LED to software, it would be very easy for

In the Star Trek sense, anything is possible; if the people making the device had desired to expose the state of the LED to software, it would be very easy for us end users (including people writing a little shell script). But there's no reason to expect that just because the LED is active, they made it easy to sample its state. It's a closed system, like a restaurant kitchen. Determining whether the chef is wearing a hat by examining the plates coming out may be possible with enough plates and time, but the answer sufficiently becomes 'no' for practical purposes.