If the Twins win all their games, they have a small chance. However, with so many games between the teams, someone will win them. Things would have to go just right for one of the teams not to win 90 games. As noted, the Twins have the tiebreaker with both Texas teams, but not Seattle.
Domination in any of the head-to-head matchups or a Twin loss or two would render this thread moot.