Simple answer: Yes.
Longer answer:  One of the great things about our setup at HIP Trivia is that we can do both!
For most of our fundraising trivia nights, groups come to the event to play as a team, per table.
We also have plenty of events where players are playing as individuals.
We can also combine those.  We can have players play as individuals but they can also select from a pre-populated team list that can consist of anything you’d like it to be.  It can be by tables.  It can be by department.  It can be by company tenure.  We can collect individual scores right along side of team scores which always makes for fun conversation.