I can think of two ways to accomplish this.
The first would be to have a dropdown option in the form that has the names of your team members, and when they submit a form they select their name from the list. Then you could have a view that shows who has/hasn’t submitted.
Alternatively you could have an automation that checks a box (or adds a date) to a field next to each users name, so you could easily scan (or setup a filtered view) to see which users haven’t submitted a response.
Hope that helps,