Yes, but Zoom is hosted abroad, so don’t use it to discuss confidential information (voice, chat, and screen sharing).
You are already registered on Zoom with your email address @ epfl.ch, so you have to log in on https://zoom.us and change your email address by a personal “No EPFL”. Monitor your mailbox, as this change will need to be confirmed. As soon as the change is confirmed, you can log in via Tequila on https://epfl.zoom.us
Cloud records are stored on Zoom servers in the USA. You can find them and download them via your profile https://epfl.zoom.us/, menu “My recordings”.
No, only animators and co-hosts can share their video with all participants.