No, not that kind.
Monster infighting is a major component of Doom. If a monster is accidentally damaged by another monster's attack, it will retaliate and the two will fight. This extends to explosive barrels: if a monster's attack causes a barrel to explode, any monsters hurt in the explosion will turn on the one whose attack resulted in the explosion.
In the earliest versions of Doom, if a monster is hurt in a barrel explosion caused that it cause, then it will target itself. Monsters that have only ranged attacks will simply flail around and shoot in random directions, but monsters with melee attacks will instead claw/chew themselves to death.