It is possible, but it is a bit of an involved process. Sony did make a [link|https://www.youtube.com/watch?v=NYhngu66Ccc|Teardown Video|new_window=true], and it does not seem that replacing the cable is that difficult. You'll need to remove the headband from the goggles as shown in the [link|https://youtu.be/NYhngu66Ccc?t=30|0:30|new_window=true] mark, and then disassemble the headband as shown at the [link|https://youtu.be/NYhngu66Ccc?t=540|9:00|new_window=true] mark. Hopefully, this is helpful.