Basically, no.
VHF/FM signals only carry a very short distance. (You usually can't pick up stations in Kent just across the channel in France. You'd certainly have no chance of receiving anything in the Med).
You might be able to get some sort of a signal on medium wave but reception would be very poor. There are several European stations using each frequency; you can generally only hear the nearest one. For example, if you tune to 693kHz in this country, you'll hear BBC 5 Live. But there's an Italian station and a Spanish one on the same frequency. If you were in the Med, you'd hear one of them. (By turning your radio to the right position,you might be able to get a good enough signal to make out the sports results but you wouldn't find it easy or enjoyable listening).
You might be able to pick up a signal from BBC Radio 4 on 198 KHz long wave, by turning your radio to the correct position but it would be subject to interference and fading.
Otherwise (apart from the internet), you're just left with BBC World Service on short wave.
Chris