No. The biggest thing is to keep them away from heavy exposure to solvents, etc.... Also if it is a combo of Kraton handle and carbon blade, try to keep the oil off the handle. If you need to clean the handle off, I'd just wipe it off with a damp cloth. Kraton is better than celluloid, but is still one of those materials that can go bad out of the blue sometimes, and their isn't a way to stop it.
The big problem over the years was softening and stickiness. Lots of people mention Cold Steel, but it happened to almost everybody that used Kraton back in the 80's - 90's. The manufacturers could only offer that the best thing to do, was keep it away from oils, solvents, and insecticides (DEET, etc....).
I do wonder if they've perfected the formula a bit, because you don't hear about new Kraton handles going bad nearly as much.