What make and model headphones?
How old are the headphones? Any warranty left?
If there is warranty left then return the headphones for a refund or replacement.
If no warranty left, opening the headphones is unlikely to lead to a fix. Reason being that the USB port has likely broken loose inside and would need to be re-soldered or otherwise require some level of skilled repair.
However, if you have nothing to lose then taking the headphones apart is worth a try.
Most likely you will need to peel off any padding or labels that hide screws.
Or possibly use a small screw driver to pop apart any seams.
Note: Link did not directly lead to video (.mov) so I could not view the video.