No.
ControlLogix Redundancy is built to survive the failure of one processor or network module in the redundant pair chassis, and can be built to survive the failure of one network cable on the dual-media ControlNet.
But it is not designed or intended to switch from one ControlNet module to another within a single I/O chassis.
That would not add significant robustness to that chassis, since the chassis still has a single power supply and individual I/O modules.
This may have changed in the recent past, but that's how I understand the ControlLogix Redundancy architecture, and I know it well.
Where did you get this diagram ? In my opinion it's a poor diagram: it doesn't show the Ring architecture for Ethernet or the dual-media architecture for ControlNet, and the presence of multiple 1756-CN2R modules in the remote I/O chassis can evidently be misleading.
It is possible to put multiple ControlNet modules into a remote chassis like that, but it would be to split up the I/O and network bridging functions, not to provide a network module failover feature.