No, as that firmware is not on the HCL for this controller, it also says to use package 4.0(4d) or 4.0(4c) .
Thanks for update.
Even if I use Cisco Firmware 4.0(4d) or 4.0(4c),still FW package will have SAS-HBA firmware 09.00.00.08.
Below is Cisco compatibility matrix for reverence
So Cisco FW 4.0(4X) does not support vSAN 6.7 U3 for Cisco C220-M5SX ?
If those packages do not contain the firmware listed on the HCL listing then likely one of two things happened here - incorrect package version referenced in the HCL listing or incorrect firmware version listed (e.g. 09.00.00.08 may be the intended version if that is what was tested and certified). I would advise opening a Support Request with GSS to look into this, otherwise I will see about looking into it on Monday.
Also, I wouldn't go with Cisco Matrix as they state themselves:
The local storage controller firmware and driver combinations in this matrix do not apply to VMware vSAN deployments. For VMware vSAN deployments, consult the VMware Compatibility Guide – vSAN http://www.vmware.com/resources/compatibility/search.php?deviceCategory=vsan.