No, the human mind cannot be written as a program, not with the programming tools available until now. Besides instincts, we have something called "reason", and I wont go into that because it isn´t in the scope of the thread. Computers learn because they were instructed to, we are not obliged to learn, yet learning is something the mind can´t avoid. The truth is, no one knows how the human mind works, and maybe that´s why it can´t be simulated as a computer program. All we know, experimentally, is that it works very different than a computer. Humans don´t really compute, they reason, they simulate computing through reasoning and I guess thats why we cant compute as fast as a computer, because every time we execute something simple like 2 + 2 = 4, even if unconsciously, we go through the entire process of reasoning all over again why these two numbers added up will give us that specific result.

A perfect example of humans vs computers would be the Deep Blue x Kasparov chess event. Deep blue had a big database of every single grandmaster chess game played on the planet and it could mathematically analyse a few billion plays per second based on this database. Kasparov had a lifetime of chess experience and his reasoning. While deep blue would run over billions of plays per second, 90% of these were obviously bad moves and Kasparov would never even think of them, but Deep Blue would keep considering them over and over. In every match, Kasparov would play weird opening moves as to avoid imitating a game already present in deep blues´ database, to force deep blue to start "thinking", he would then later transpose the game to a well known pattern that he already was familiar with, while deep blue would have to start his O(n²) complexity algorithm to find a good move. He crafted this weapon against deep blue right there on the spot, no one taught him. That, my friends, is called Intelligence.