That's a definite possibility. Try disconnecting the plug and putting a jumper wire across the wire harness connectors. The backup lights should come on if the circuit is good. With the column linkage in the reverse position there should be continuity between the connectors on the switch.
Jerry

"It is better to be silent and be thought a fool than to speak and eliminate all doubt!" - Abraham Lincoln
Cringe and wail in fear, Eloi- - - - -we Morlocks are on the hunt!
There is nothing noble in being superior to your fellow man; true nobility is being superior to your former self. - Ernest Hemingway
Love your enemies and drive 'em nuts!