No. When adjacent to targets, Criminals will not move.
Criminals and Bosses will always try to perform a move that will bring them closer to the target Champion/Gladiator using the shortest most direct route. If that move isn't possible because its path is blocked by units, it will move around them, but only if that move takes him closer. If such a move isn't possible, it will instead move sideways to another hex equal distance from the Champion/Gladiator. If this isn't possible, it will not move.