To make a repair to a hockey stick that would have ANY effect you'd most likely have to vacuum bag the part which would take a tool cost much higher than the new stick.
Having said that, a vacuum bagged or infused repair STILL wouldn't live up to the rigors of a hockey sticks life. It might last years, it might last until the first slapshot. Carbon sticks are great, but their downfall is their price. It's simply not worth it to try to repair a break.
If you want to do a repair that has a chance of living a long life then cut it in 2 at the break and add an aluminum sleeve inside the existing stick before you carbon over it. This will just create a stress riser elsewhere along a flexible stick (worst situation) but it might last a while. By the time you find a rectangular tube that fits, or create one, buy the carbon, epoxy, laminating supplies etc you'll far exceed the price of buying a new stick and you'll be left with a far inferior product.