I ran the numbers on this after today's games and the basic problem is just how many games Texas, Seattle, and Houston play against each other (Texas and Seattle play seven while Seattle and Houston play three).
If the Twins finish 7-2, it requires the Astros to go 3-6, the Mariners to go 3-7, and the Rangers to go 4-6. There's possibly some flexibility there if there's a four-way tie, but that's the basic idea. It puts the Twins, Astros, and Rangers all at 88 wins and the Mariners at 87 (Twins have the tiebreaker against Houston and Texas but not Seattle).
Since Texas and Seattle play seven, that means the Mariners can't win 4 and the Rangers can't win 5, so the only option is Texas winning 4/7. That means they need to get swept by the Angels. If the Mariners win 3/7 against Texas, they have to get swept by Houston. And if Houston sweeps Seattle, they have to lose all 6 to Kansas City and Arizona. It's basically impossible.
Best case scenario is the Twins going 9-0, but even then you're looking at some combination of Texas having to lose at least one to the Angels and the Astros having to lose at least three or four to the Royals and Diamondbacks.