assigning multiple interfaces to VLAN

I have a GTM with a single ethernet connection to a switch. My goal is to establish a second ethernet connection to a second switch for redundancy. But my understanding from our Cisco guys is that I can't etherchannel across two different switches.

 

 

From the F5 perspective, it appears that I can simply add a second physical interface to the VLAN. Will that work if I have two interfaces, which are not trunked, in a single F5 VLAN, connected to two different switches?