It would seem physiologically impossible, and it is so, to the mind, until one experiences it. This is why it is taught that true knowledge comes from direct experiencing (through practice), and not from what one has read, or is told, even by one's teacher/guru (read: guide).
But then consider that deep sea divers, or certain tribes that live by oceans/seas free dive for prolonged periods of time on a single breath. The official Guineas book of record is > 20 minutes... The average swimmer can hold their for 2-3 minutes without breathing.
In my own subjective personal meditations the deeper I go, the shallower I realize I'm breathing. In fact, one of my methods of going in deep, fast, is to still my (in)breathbreath as much as possible, and prolong the holding periods in-between to close to a minute (or more). At a certain point, i consciously let go, and my body subconsciously continues it on its own. Kinda like a subtle hand-over. If I follow my breath, I've gone up to a single breath every 2/3 minutes before I lost sense of my body. And on an occasion or two, I have snapped out of deep meditation to instantaneously realize that I wasn't breathing. And I had no idea how long I was under. It could have been two minutes, it could have been 10.
Thus to me, Science has proof it is possible, but my own personal experiences remove all doubt (for me).