Why are you interested in a projector? Cellar door is right that portable projectors are available and capable. But another option might be something like a Chromecast. With that, you can display whatever is in a Chrome browser tab to any screen where the Chromecast is plugged in. With a Chromebook laptop you could display your entire desktop at any time. That functionality is also possible with Apple computers and the Apple TV, but going the Chrome route is cheaper.
Depending on your wants and needs there’s an option for every budget.