Hi Andre
Yes you can definitely operate it using a switch. What you need to do is check out for the section that operates the acuator system, it is the system which opens and closes the lid. It must be based on a DC motor, so check out for its wires(probably two) and include your switch in series to the connection between these wires and a battery.
This is just an overview of what can be done; a detailed study of the circuit involved here would give us the exact solution possible.
Good luck 