Looking closely it appears the TP has the same configuration around the BRF6350 as the Experia does (which has the FM radio)....definately looks as though the nessasary hardware may be there, though there is not enough detail to know for sure.
TP:
http://www.phonewreck.com/wiki/image..._pro_pcb_2.jpg
X1:
http://www.phonewreck.com/wiki/image...a_x1_pcb_1.jpg