No, you can connect to any Zoom meeting without having your own Zoom account.
The first time you join a Zoom meeting or a Virtual Zoom Classroom, if Zoom is not already installed on the computer you are using, it will prompt you to download and install the Zoom software.
You can create a free Basic Zoom account at https://zoom.us. Note: You only need an account if you are hosting a virtual meeting.
A Zoom account allows you to host a multi-person 40 minute meeting for free. One person to one person meetings have no time limit. More information is available at https://zoom.us.