I’ve heard that, with many hours of practice, dedicated amateurs and many famous magicians are able to do this kind of thing. I wouldn’t call it sleight of hand, but it is similar, although it may fall under that category broadly. I’m not a domain expert but I was taught some simple coin tricks as a child by my artist mom’s artist friend who ran the local frame shop. I never tried or thought to try to favor the coin flip or introduce bias, but it’s definitely a skill that can be acquired.
I remember at one point in my childhood learning a trick where it looks like you're flipping the coin, but you're really only causing it to rotate and wobble, meaning it's guaranteed to land on whatever side faced up as you tossed it. I don't remember how I did it though, and a few minutes of trying to recreate the effect has failed.