Nod If You’re Awake

Is it possible for someone to enjoy his meal in a perfectly kosher sukkah while simultaneously violating the injunction against eating a bread meal outside the sukkah on Sukkos? Can a man wear a perfectly kosher tallis, yet at that very moment and on account of that very same tallis violate the precept of not wearing a four-cornered garment without tzitzis?
The Gemara in Yevamos discusses performing a mitzvah while dozing off. The Gemara differentiates between sleeping and dozing. What is the Talmudic definition of “dozing”? If someone is asked, “Did you put an item in such and such place?” and he is able to accurately answer, then he is only dozing. If he can’t answer that question, he is sleeping. The Gemara concludes that it is indeed possible to fulfill a mitzvah while dozing.
One such example is reading the Megillah. One who reads the Megillah while occasionally dozing off fulfills the mitzvah (if he actually reads most of it from the scroll rather than reciting it all from memory). However, one who listens to the Megillah while dozing does not fulfill the mitzvah. The Mishnah Berurah explains that one who was dozing while listening to the Megillah surely missed some words, and those few words are enough to stop him from fulfilling the obligation. However, we assume the dozing reader made sure not to skip any words.