Built into Chrome?
Does Chrome have a built-in screen recorder?
No. Desktop Chrome on Windows, Mac and Linux has no record button. ChromeOS has a basic screen capture tool, and Chrome's DevTools can record performance traces, but neither produces a polished video.
To record a tab in Chrome, you install an extension. Most use Chrome's tab or screen capture, which includes your system cursor as it moved. Screenix captures page pixels only and draws a better cursor afterwards.