A bit of speculative theology: I have been wondering whether Our Lord Jesus Christ could have failed His mission if He, for example, didn’t pray enough as He did, or if He didn’t fast for 40 days, etc.
In short, could some failings of His human will happen so that that the synergy between His human and divine wills be broken?
I’m also looking forward to read official teachings on this.
“Unofficially”

it is my understanding that the great value of the divine redemption accomplished by Christ is rooted on this very topic: the “new Adam” was not acting as the omnipotent God, but as a man, a perfect man. This man was tempted, suffered, laughed, was born, nurtured, died, and was buried. He did work miracles, but he also taught his disciples (who were not God) that they could do the same works, and even greater works than those, if only they had faith, true faith.
The conclusion? Yes, Christ could have failed.
We see this especially in the agony of the Garden, when the human nature struggles to the point of excruciating psychological terror leading to hematidrosis, asking the Father three times to take away that cup of suffering. Yet, by a perfect act of obedience (“
not what I want, but what you want” - “
Put your sword away! Shall I not drink the cup the Father has given me?”) Christ overcame the most powerful of all struggles He might have ever faced.
Every temptation on the road, from creatures trying to force the events to go in the wrong direction (“
Jesus, knowing that they intended to come and make him king by force, withdrew again to a mountain by himself”, “
I know who you are–the Holy One of God!* “Be quiet!” said Jesus sternly.*”) until the very end ( the dream of the wife of Pilate (that St. John of the Cross sees as of demonic origin) to try to spare His life, the words of the religious leaders and the thief while He was on the cross (“
Let him come down now from the cross, and we will believe in him.”, “
Come down from the cross, if you are the Son of God!”, “
If you are The Messiah, save yourself and save us also”), the “dark night of the soul” (“
Jesus cried out with a loud voice, saying: Eloi, Eloi, lamma sabacthani? Which is, being interpreted, My God, my God, why hast thou forsaken me?”) )…all of those trials and tribulations had only one objective: to stop Christ from fulfilling His ministry.
It is also my understanding that the Passion had a miraculous aspect in that an average human being could have not survived a fraction of those sufferings…in there, the perfect faith of Christ allowed Him to receive much more sufferings than any other human being that ever lived. However, we see traces of this great faith in many saints and martyrs who endured sorrowful mortifications and tortures that would have immediately killed an average man.
Christ did everything perfectly, because that was His mission as man: to show us what the Father wants from us (“
be perfect, as your heavenly Father is perfect”) and to show us by teaching and by example that such an expectation is far from impossible.
In fact, Christ taught that this can be accomplished by any man (“
take my yoke on you…For my yoke is easy to bear, and the burden I give you is light”). He even went further and taught us that it is not a matter of becoming greater and stronger, but vice versa, to become smaller and smaller, “the last”, “like a little child”…St. Paul and the apostles would emphasize this (“
when I am weak, then I am strong”, “
he said unto me, My grace is sufficient for thee: for my strength is made perfect in weakness”), and perhaps its nicest “modern” reflection is “
the little way” of the Doctor of the Church s. Therese of Lisieux.