The answer is no.
Once you have started the task, you will see it running:
You do not need to wait until it is finished; you can close your browser; it will end running automatically.
However, if you want to run another task, it is essential that the task in progress is finished before you can start another one.
If you think a task is stuck or running too long compared to previous runs, refresh the browser.
Should you have any questions or need any assistance, let us know via the in-app chat or e-mail at firstname.lastname@example.org.