Yes, we do, on Windows hosting accounts only. ASP.NET and .NET 2.0 applications will only run in a Windows hosting environment, and we run .NET Framework 3.5 SP1 & .NET Framework 4.0 on our Windows platform.
Please note that ASP.NET is not a simple upgrade to ASP, it is a completely new language with different modules and functionality (including compatibility with other .NET languages like C#), although it is deliberately designed to be familiar to people who have written classic ASP before.
If you'd like to learn more, you should check out the article on
MSDN
