Yes, the reverse light switch is on the left hand side of the gearbox with 2 wires coming from it. You need to check if power is going to the wires. Turn on the ignition, disconnect the wires from the switch and use a test lamp on each wire to see if it lights up. You earth one side of the lamp, and poke a wire into each connector. If the test lamp lights, then join the wires together by bridging them with a spare piece of wire. See if the reverse lights are working. If they are, then it's the switch that is at fault. If they are not, use your test lamp on the power wire going to the reverse lamps. If the test lamp lights up, it's likely to be a bad earth/bad connection/faulty bulbs in the actual lamps. If the test lamp does not light up, there will be some faulty wiring between the dashboard and the reverse lamps.
This is quite a simple problem to sort out if you tackle it methodically.
Steve