Can I impersonate a user on a different Active Directory domain in .NET?

Question

I have two Active Directory domains, A and B. Users in domain A need to run an application on their desktops to view and manipulate a resource located on a server in domain B. Each user also has an account in domain B. Is it possible to impersonate each user's domain B identity to perform operations on the domain B resource programatically?

Example Workflow:

1. User logs in to domain A.
2. User launches desktop application.
3. User specifies resource in domain B.
4. Application prompts user for domain B credentials.
5. Application impersonates user's domain B identity to access specified resource.
6. User manipulates domain B resource using application.