No, the Tully-Fisher technique wouldn't have worked in such a scenario.
<u>Explanation:</u>
For the Tully-Fisher technique to work, it is required that our view of the stars allows us to read their motion.
If a galaxy would be in a position facing perfectly towards us, it would've been impossible to read whether the galaxy is moving towards us or away from us.
In that case, the Tully-Fisher technique would fail and our distance from the galaxy would be incalculable.