An ASP.NET application can also be a VB.NET application. ASP.NET is a framework, you can use many languages to program an ASP.NET application including VB.NET and C#.
If you mean you want to convert a VB.NET winform application to a VB.NET web application then no there is no control that will do that. Many of the same classes are available to winforms and web applications, but the architecture is completely different. Web applications are stateless.