Yes, of course it is possible, but what you are doing is a web application. The chrome extension is literally a chrome extension (which must be installed) written in C or C ++ (javascript, html and css are possible). The convenient thing about a web application is that it can be used (in every browser) without the need to incorporate any additional components.
To be specific, Google has extensions and applications. With a particular chrome app, you can do more than a regular web page. First, people had to install the application and agree to the terms of use. this has made you more javascript capable, which is usually forbidden for a random web page.
The extension is designed to add or change features in chrome, such as adding your own video player extension to play avi or something like that. Not for building a web application.
If I just create a regular web application or create a chrome-specific Packaged application .
In your case, you are creating a private web application. If it will be used inside lan, you can just create an intranet and run your webapp there. If it should be used globally over the Internet, you just need to provide it with a registration.
Or create a desktop application.
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