No. I have a Model 3 and there are several games in the arcade. I've played the old-school lunar lander while waiting to pick people up. The racing game is new, I'm guessing the software update will be pushed out soon.
I remember back in the day (early 2000s) installing one of the first Alpine slide out / fold out LCD panel head units in my car, then stuffing an xBox OG in the back arm rest and playing video games while waiting for people.