They have no chance of winning or even competing for the Cup. St. Louis will not be in the Playoffs so that bet is dead on the last day of the regular season.
The top 8 teams in points make the Playoffs in each conference(Division winners get the 1,2, and 3 seeds). There are 82 games per team in the regular season. Using St. Louis as an example, they played 75 games(7 remaining) and have 74 points(16 behind the eighth seed and final Playoff spot, Calgary). Each win is worth 2 points, so even if St. Louis would go 7-0 in their final games and Calgary goes 0-7 the most points they could end up with is 88 which would still fall two short of a Playoff spot.
Sorry to be the bearer of bad news.
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