Yes, you can choose to host and/or play multiple quizzes simultaneously.
You can also have multiple game types — live or homework, running at the same time. Each game comes with its own report and you can view progress by going to the Reports tab.
Note: You needn't open multiple browser tabs to run additional quizzes. Once a game code is generated and players join the game on their device, the game and its progress will automatically appear under Reports.