On a high level -
CLM has a dependency on BSA for bare metal provisioning. Not sure whether c-series without UCS Fabric Manager is supported in BSA.
You need to represent it as a physical server in BSA imported devices list. CLM will discover it as a physical server and then you can attempt bare metal provisioning through CLM.
Please refer to the following link for more details - https://docs.bmc.com/docs/cloudlifecyclemanagement/46/setting-up-and-using-bare-metal-vm-provisioning-669197398.html?src=search
If you can configure c-series without UCS Fabric Manager and can represent it as a physical server in BSA then it might work.