These counter tops are machined very precisely to give seamless jobs across the long grain and end grain. It is possible to replicate using a planer thicknesser and a finger joint router bit (or more likely shaper), but you'll struggle immensely to get it anywhere near as seamless.
One thing to bear in mind is that every joint is a potential weak spot. If you were to try and join wood like this without the same industrial presses and whatever curing techniques / machines they use, you'd probably end up with it warping all over the place.