Yes. But for future understanding, please consider these notes:
- Creating Web Service actually doesn't need any IDE. You can create a web service (or an entire web site) using Notepad. Therefore, Visual Studio is just a helpful tool for you.
- Creating a web service based on .NET Framework actually needs you to compile your code. Therefore, you can again create the web service with notepad, and compile it using C# or VB.NET compiler, deploy it and use it.
- Visual Web Developer 2010 (Express) is just an IDE. Web Service on the other hand is an Item Template (which writes the basic infrastructure for you). But even if you don't use that Item Template, you can create a class, inherit from WebService and create your web service.
Good luck.