Let me see if I understand the situation:
You have a ML1200 with relay outputs. One of these relay outputs drives another device (relay?) with a 120-volt coil, which startss a VFD. You want to also have a second 120-volt source from a fire alarm that also needs to start the same VFD. Is all this correct so far?
If so, then the only problem I see is that you should probably make sure that your 120 volts is "common", coming from the same transformer and the same phase. Otherwise, if they ever both get connected at the same time, you could have a short circuit. This short will be downstream of the PLC relay output, so should not bother it, but it could blow a fuse or burn some wires. Therefore I would make sure that I use a common supply for both 120 volt sources.
If that is not possible, or you don't want to take the chance that someone sometime will swap one of the two voltage sources, then you can do what many of use have had to do in the past, use another double-pole double-throw relay downstream of the PLC (call it R1). When the PLC outut is ON, it energizes a NO contact on R1 which starts the VFD. The fire alarm output can be connected to one of the NC contacts on R1, and then to the same VFD Start circuit. When R1 is not energized by the PLC, then the NC contact will allow the fire alarm to start the VFD, with no chance of a short circuit.