Yes! As a client, you can record sessions locally to your computer’s hard drive right from Zoom.
How to record your session
Once you’ve joined the session, simply move your mouse around on the Zoom screen-share window to make the menu bar appear, then click the record button on the lower right-hand side. You will see a red light and recording indicator in the upper left-hand side of the screen.
Stop the recording
You can stop the recording by pressing the stop recording button, located in the upper right-hand side of the screen. Your recording will save locally to your computer as configured by your Zoom preferences.
You can also read Zoom’s recording support article if you run into issues.