It's kind of cheating to give two options against which Betteridge must contend, but I'm going to say 'no'. It's fair to say that thus far, Fujirumors hasn't fared well against Betteridge. (Fujirumors may not even have heard of Betteridge, in which case, the '?' marks may just seem clever.)

Here's a hint: if you have to ask, you're being baited. On the other hand, Fujifilm don't exactly play a steady hand. With interfaces changing left and right, who knows, maybe they will offer to upgrade your old X-T1.

The question should be, then, 'how much for an electronic shutter in your now-shitty old, X-T1?'

Hilarity ensured here: X-T1 firmware in December + Rumor-Riddle: electronic shutter via hardware or firmware upgrade?