Considering that Ben Taub, the main county hospital, is in the middle of the largest medical center on planet Earth, I should think yes. Memorial Hermann is literally right next door, and there are 15 other hospitals within a few blocks.
But those hospitals aren’t free for someone with a county “gold card.”
And, no, the ICUs are not at 100% capacity. Whatever the reason this guy isn’t in surgery, it isn’t covid.