That can certainly happen if the transmitter is close enough to any receiver as the signal can simply breakthrough. When I was a kid a taxi driver lived a couple of doors away, and when he was sitting in his car before going out we'd often heear him coming through the TV.
There's also stories of people with old style metal fillings in their teeth which can act as a diode and detect signals.
If they lived near Rugby Radio their watches were always correct …
