That is extremely unlikely to work as even if the TE tube is completely detached in the fin you have no idea how closely the pressure inside the fin is following true static. The reason for having co-located ports is to minimise differences in time response. Electronic TE compensation requires really accurate pitot and static inputs with simultaneous signals to work properly. If you have them there is a better chance getting it to work (even if not well) by using aft fuselage static ports, which are usually fairly accurate, than a completely unknown source inside the fin.