Yes, you can perform a text search across all opened tabs in Chrome without manually moving from one tab to another. To do so, you must use a free external web extension.

How to Change the New Tab Search Behavior Even after you change your default search engine, the search box on Edge's new tab page uses Bing.

Learn how to turn on or enable Preload new page setting on Edge browser. You can do it from Edge Settings, Group Policy, and Registry Editor.

Time-saving browser tab search tricks for Chrome and Microsoft Edge.