No, nothing persuaded Mr. Hooper to take the veil off.
This is a key aspect of the story; Mr. Hooper is confronted, so to speak, with various reasons as to why he should take off the veil. Each one adds to his depth as a character and a human being, and makes it clear that his choice to wear the veil was not made lightly, nor does his sincerity change depending upon how convenient it is for him to wear it.
Some of the factors that encourage Hooper to remove the veil include;
- public pressure from his congregation, via their stares and gossip
- his own horror at his appearance
- the recommendation of other clergymen
- the pleading and, finally, direct request by his fiance to remove it
None of these things ever change his mind.