Do any minor league baseball player make a million dollars per year?

The simplest answer is No.

The correct answer is that Major League players get paid during the regular on the 1st and 15th of ever month, with the earnings spread out over the 162 game season. If a player is on a team that makes it to the playoffs, the receive additional money based on how far they go, not on number of games played.

After the World Series money is divided up and paid out, players receive nothing again until spring training.

No MLB player is paid by MLB year round.