Almost all accomplished players switch grips. Grip changes can be big, but typically they're more subtle such as moving your thumb up or down and changing the pressure distribution of your fingers. Some players are unaware they switch grips (and may insist they don't) because their grip changes evolved naturally as their technique advanced. I think this is the best and easiest way to do it, i.e., starting with one neutral grip for both forehand and backhand and letting it evolve in the context of actually playing and doing drills. But it's not the way I did it. Instead, I started with separate grips for forehand and backhand, struggled for a long time trying to learn fast seamless grip changes, constantly adjusting my different grips and grip changes, and generally gave myself more frustration from this part of the game than anything else. Eventually I decided that any changes I made going forward had to reduce the size of the grip change, and finally settled on a minimal change that actually worked in practice. So, yes, you can do it this way, too. But I don't recommend it.