Could Jesus have been romantically attracted to Mary Magdalene?
The short answer
It was within the realm of possibility, since he was fully man. But it is unlikely: Jesus had neither sin nor concupiscence, and his mission did not include marriage — his bride is the Church. Scripture never mentions or implies any romance.
Fully human
Romantic attraction is a normal human emotion, and Jesus was fully man. Scripture shows him angry (John 2:14-17), loving (John 11:5), grieving (John 11:32-35) and joyful (Luke 10:21), and hungry (Matthew 21:18), thirsty (John 4:7; 19:28) and tired (John 4:6).
Rightly ordered
Rightly ordered emotions draw us to rightly ordered goals; rightly ordered romantic attraction draws a person toward marriage. Jesus was without sin and without concupiscence, so he did not suffer disordered attraction.
His mission
His mission did not include marriage to a human being — his bride is the Church (Ephesians 5:25-33) — so there was no apparent purpose for romantic attraction.
Conclusion
We cannot know with certainty, but it is unlikely he felt romantic attraction for Mary Magdalene or anyone else. Scripture says nothing of the kind; he was focused on his mission of saving humanity.