Yes you should be able to do that if your TV is close to your radio (I'm not familiar with your layout). Buy one of these taps
, insert the in to out side between your regular TV wiring and then connect the 6dB tap to your radio. The advantage of using a "tap" instead of a splitter is that it reduces the signal to your TV by a lot less.
(Note: FM radio station frequencies are between TV channels 6 and 7.)