Yes. The worst two are from dogs. One was from helping to break up a fight between two of our pitbulls. I caught a canine between the knuckles on my left hand. Didn't even feel it until a couple minutes after. The other was from when I was playing with one of the pits when he was a puppy. His sharp little puppy tooth caught me on the inside of my elbow and it got infected. My arm got tingly a few days later and gave me a small panic attack lol. Thankfully that cleared up on its own though. I think I inadvertently caused the bite to get infected, by keeping it too moist, as it cleared up pretty fast after I kept the wound to open air.
Neither instance do I blame the dogs for the bites though. The dogs weren't trying to be aggressive towards the people breaking them up, just each other. I just stuck my hand in the wrong spot. The puppy bite came from a play session and it's not like he was biting hard, just had a really pointy needle like tooth.
I get bitten quite often from one of the cats too. I'm always messing with her and she goes from chill, to fuck off, pretty quickly. She doesn't bite hard enough to puncture though, just once when she caught me in a soft spot.