Thankfully no.
For a while Jack was very rough when taking treats (he has gotten better with us but I am still wary of having strangers give him treats--he get ultra excited about strange people feeding him) and nicked me a couple of times, but I guess I don't really count that as a bite.
Sally liked to play bite when we got her but we ended that quickly. We have very strict rules about dog teeth on human flesh during play. Even Jack didn't puppy bite for long (although that likely had more to do with him staying with his litter for 10 weeks then training).
Actually, I'm kind of surprised Jack has not bitten us. He's had various health issues that have required us to force him to stay still while we did things he clearly found unpleasant and/or painful. After his elbow surgery he had to have physical therapy exercises done on his legs that he did *not* want to stay still for--one of us had to hold him down while the other did the exercises.
More recently we have been dealing with an extremely stubborn ear infection. We have had to clean his ears twice a day and especially at first he would cry and cry while we did it, but he never tried to bite either of us. he hasn't even growled--he would moan sometimes at first, but that was it.
Actually, the only serious bite I've had from any of my animals was from my Standardbred gelding. It was what I suppose was redirected horse aggression. He was waiting at the gate to go in to eat and another horse that he disliked came rushing up behind him. He kicked at the other horse and bit me at exactly the same time, getting me in the boob.
It was really, REALLY painful. He bit me through a t-shirt and the shirt was not damaged, but I had a good sized wound there. He hadn't bitten into the skin as much as he had just torn it apart. I got a gigantic bruise too--it was the size of my entire hand. It hurt to sleep on my stomach for days and I had to wear a very supportive bra all the time for weeks. I still have a faint scare.
ETA: I think that horse related injuries get reported less for a couple of reasons. First of all, when a horse bites they rarely break skin. I've been bitten by a number of horses with varying degrees of severity and only twice has skin been broken--a bite from my old mare when I was a kid that only very barely broke the skin (no blood even), and the wound from my gelding. If they don't break skin, there is nothing to get infected or to have sewn up. Also, horses are not out in the general public as much as dogs are, so I think it's fair to say that the majority of horse related injuries occur to people who spend a lot of time around horses, and most of us have accepted that when you deal with horses you are bound to be bitten, kicked, stepped on, etc. At least in my area they don't report an animal injury unless it is a scratch or bite, so being kicked, stepped on, etc would not be something that would even be recorded against a particular horse.
In the county I grew up in though, they did take horse bites fairly seriously. When my mare broke the skin on my arm my mom was worried about tetanus and made me get a shot. The doctor was required to report the incident to Animal Control and the county made us quarantine Sheena in case she had rabies since we had not had her vaccinated for it. We had to stall her for 10 days to make sure she didn't start foaming at the mouth--out vet thought the whole thing was quite funny.....