NO, that is not possible. You can add multiple NIC to one vSwitch but can't add one nic to multiple switches.
As already suggested below you can add multiple "VM port group" in the vSwitch which has NIC and use vlan for those.
One NIC is minimum requirement for vKernel port group for management network. Now as you have only one NIC so VM port group(s) will reside on the same vSwitch