Yes, they will and do come right up to the beach in some places. A few months ago, I was watching the sun set, and these guys had been fishing for a while. I saw them pull in one Lady Fish, and released. They left 30 min before sunset. Just as the sun was dropping over the horizon, a shark, about 6-7ft in length, swam right up to the beach where the Lady Fish had been caught. I guess the shark was still smelling the trace of blood or fish.
I've seen a 3-4 ft long baby HammerHead clear the water at Grayton. Freaked all the mothers out, since all the kids and daddies were in the water. I was in the water too, and had no clue if they had seen a Cobia, a small Shark, or a 1000 lb Mako Shark. I certainly didn't race back to shore, as that only freaks the sharks out. I will still run, panicking, from yellow jackets, but for some reason, I am much calmer with the thought of being in the water with a shark.