Short answer, yes you can put the Hate token on an invisible creature. For the exact reason that you mentioned. It doesn't require you to target the hated creature.
I feel like this warrants a longer answer though on exactly how it would work. The enchanted creature would be forced to move towards the Invisible creature, but since it is invisible it is impossible for the enchanted creature to attack it. Therefore, once they're in the same zone, the enchanted creature can perform whatever action they wish. Including leaving the zone. (Then having to move back in if they have a quick action left, unless they were hindered).
This might be a little wonky thematically, but I'm sure you can think of some way to justify it. Perhaps the spell just mystically draws you towards the object of your hatred.