Not necessarily. Assimilation happens as a night action after she gets activated so the earliest would be tonight (assuming Khush tells us someone got assimilated). And even then, she could choose not to use her power for a few days to hide herself until everyone has been voted for at least once.
There is no public announcement that the Borg Queen role has been activated. Otherwise, it could be easy to figure out who it is if only other person had a vote cast their way and suddenly the Borg Queen was active the next day.
Looked through the rules and it says nothing about the assimilation actions being public. They're functioning as a Cult role, for anyone who has played EpicMafia perhaps.
Assimilations are not public. Again, that would be like publicly announcing if the Mafia recruited a member. That said, there are certain roles that can learn and figure out who those assimilated might be as well as certain rules in place for the Borg and their voting to further assist players in identifying them if need be.
Therefore, for all you know right now, the Borg Queen could be active or could still be in hibernation.