It’s possible to play games like that, but most folks don’t. Even professional or tournament games are mostly played over the course of an hour or two; there are just a few extremely high level tournaments where the games are split over a few days. I’ve played a couple of postal games that went on like that, but people do that with chess too. All my in-person games have been under two hours, including in tournaments, and most under an hour.

I’d encourage you to find a local Go club and check it out. As I say, the folks are very friendly and eager to teach newcomers.