Yes. On normal cars this is achieves by sensors and brakes that I believe work at 100 times a second and up. Tesla have the advantage that they have similar control over acceleration. This technology has been common for years, and early on it had lots of downsides, but it's most recent versions is quite good. It's becoming more and more popular, even on enthusiast cars.
The main issue is while limited slip differentials do work, they are expensive, add weight, and they add friction. So the software solution gets you better MPG, better HP, and more control. There's many different names for it, traction control, torque vectoring, traction assist, etc.
Even Subaru who bet the heaviest on AWD (selling only AWD until they sold the BRZ), and had one of the best respected AWD systems is moving to open differential with the brake assist, on at least some of their cars. Not sure about the STI and WRX though.