In this situation, not really. Bitcoin's proof-of-work scheme means that if you see two different versions of the blockchain, whichever chain is longer will (with very high probability) be the globally-accepted version. But that assumes you have the ability to communicate with at least one non-malicious node.

In this case, there's a single communications channel that could be spoofed by anyone with a transmitter powerful enough to drown out the legitimate signal.