I could definitely be wrong, but I' m going to guess no. FortiOS is proprietary to Fortinet equipment and VMware tools, to the best of my knowledge, have only been compiled for Windows and certain *nixes.
VMware tools are not a requirement for vCenter-managed hosts even when using more typical OSs. They are helpful to be sure, but not necessary. You' ll still be able to perform " hard" power-ups and power-downs with the relevant controls within the vSphere Client. Otherwise, your interaction will be basically the same as it would be on a hard appliance... you' ll just have the flexibility and nimbleness of a VM.