Apart from the fact that if you are successful,you are breaking the law,I'm very dubious about how effective it will be.
For one thing,the IF circuitry is fairly well shielded,& is also at quite high signal levels,as compared to the RF stage.
Also,not all IFs are on 455KHz,if it is an FM radio,the IF is probably 10.7MHz.
With your squarewave source, after the filter you may still have substantial output at 910 KHz,which is right in the middle of the MF AM Broadcast band,so you may interfere with other listeners,who won't be very impressed.
Why not just yell at the person with the radio to "Turn that @#$%^&&&%$#!!! thing down!"
VK6ZGO