So Jesus can suffer because he is human an cannot suffer because he is God. This is logically impossible.
The situation is very simple and I provided an argument for it, please read previous comment.
We have an event (the event of Jesus) where there are two natures;
It is up to you to provide some “proof” that it is impossible. We see it, so it is possible; it is up to you to prove that we are not seeing clearly. Otherwise, 1 and 1/2 billion people plus all those Catholics before us since Peter, Paul, James, and John, see what you say is impossible.
So you must prove your claim, we do not have to prove what we experience if there is no counter proof of experience being misinterpreted.
As for logical impossibility: Only contraries are impossible simultaneously. Such as this impossibility: “This cat is all black and this cat is all white” This is what a contrary looks like, and is a logical impossibility. But nothing about Human Nature is contrary to Divine Nature, therefore the two can be simultaneously attributed to one person, if that person has both natures, which Jesus does have. Since Divine Nature is not material (not is space, not in time), it does not interfere with the physical material aspect of the Human Nature. Since the Divine Nature is not moved, it does not suffer change when the Human Nature is created, but instead inspires the Human Nature.
If you look at your own understanding, when you think about your “person”, you will see a kind of difference between knowing yourself and knowing.
The soul, the mind, knows things, knows truth, knows individual things, but there is something called “I” “I am”, “I know”, “I etc.”
My soul is the place of knowing, understanding. But my soul is not me ("not I "). My body is the place of experiment and learning to know, but my body is not me ("not I ")
Instead, I am. That is the person. That is “I”.
There is a strangeness to “I” that is real.
And that is what we say when we say Jesus is both Human and Divine.
Jesus knew this: “I have hands and feet, and reason, and a soul, and thoughts, and know things” He also knew, “I know eternity, and the Father, and I know Abraham, Moses, Elijah, Adam, Eve, the moment of Creation, and Love. I know that what I know, what I speak, comes into being.”
Jesus knows both those knowings in himself. He knows I AM completely about himself. He is the Person. And he knows these natures are his.
As far as s “person suffering”: We suffer and we do not suffer in the same person.
“I am John” - this knowing of myself has not suffered change, from the time I was five years old until now at 65 years, when I know “I am John”, I am knowing the same me, no suffering of change to my person. That is because the Human Person is outside of Time in his “self”, but in that same time, my body has grown taller, larger, stronger, weaker, and now is wearing out. But “I am John” does not suffer change of any kind, while my body suffers growth and decay, and I, John, will eventually have to leave my body behind until it is raised in the resurrection, like Jesus’ body. So, we suffer and we do not suffer simultaneously.