The short answer is - probably.The last time I played the game was when the weight lifting mini game, and to that effect the push up mini game, worked on Linux. Haven't returned since. Has it been fixed?
The long answer is - yes, because it sounds like you are saying it has been awhile. Seems like an odd question to ask when you could take a minute to look at the changelog and determine that for yourself. There's a lot of entries about mini games.