Is Destructible behavior system dependent?

In context of the core important parts like chunks , break off and physics simulation is a destructible intended to behave similarly of all machines on a particular platform?

Example : If I made a voroni fracture mesh and break it during runtime in a multiplayer game by applying same damage at same location on both client and server then will it break off equal no of chunks and with exactly similar physics simulation of chunks on server and client without replication (given it doesn’t collide with other objects)?

In other words is just initial replication enough for destructible physics ?