Not exactly, I don't think. The game I'm thinking of now would be like a battle between two armies, one lead by Bowser and one lead by Peach.
On Bowser's side would be Kamek and Bowser Jr, as well as several Koopa Troopas and Goombas. If Bowser is eliminated, then there is a chance that everyone in the army would retaliate. (I would generate a random number to get the exact amount.) However, if a Goomba is eliminated, only the 2 Goombas fighting next to it have a chance to retaliate.
So taking out Bowser while his army is still at full strength would have a chance of taking out up to like 15 members of Peach's army, but taking out a Goomba would only have a chance of taking out 2 members of her army. Of course, if there are only 5 characters left in Bowser's army, then taking him out would only have a chance of removing 5 characters.
I would also link up characters in the same army, so maybe in that way it would be like a soul link. Like, the Koopa Troopa's would care if Kamek was eliminated, and the goombas would care if Bowser Jr. was eliminated.