How can we get output without using database connection in ASP.Net with C#?

you can store your data in xml formate or create SOAP file.

We shall write a property to share the viewstate value between the page and user control

it really depends on the source of your output and whether or not you need truly dynamic content. for static pages, there's no need for a db connection at all. if you want dynamic content without using a database, you can always use an xml file as your source.