There is not. Or, there wasn't with my '09 Mazda5 that I bought in Feb '09. About 300 miles after I bought it, I rubbed a curb which cut the tire, ruined it, I checked into the road hazard warranty at the time but there wasn't one. Go ahead and call your dealership and confirm it with them, and also get a quote on a new tire.
In my case I ended up buying a new tire from Discount Tire having them price match the Mazda dealership's price, and I also bought road hazard warranty on all four tires at the time (about $25 per tire?) Total cost was a little under $300 but I now have free rotations and road hazard on all four tires. I used that warranty just a few weeks ago - I had a slow leak which I wouldn't have caught except for TPMS, took it in and it turned out to be a small nail. They plugged it and it hasn't leaked since. It was completely covered by the road hazard warranty.