Windows 2000 will only work with .Net 2.0 and earlier. WCF requires 3.0 or later. Many 3.x applications can be recompiled for the target runtime 2.0, but if you use any of the extensions (WCF, WF, WPF) you should always have 3.x installed in the complete databases.
So no.
In addition, expanded support for Windows 2000, including security updates, ends in just over 13 months. If someone wants to use Windows 2000 for the date that their own business. But the consequences for you with this date, you can never know for sure whether there is actually a problem, what you can solve, or if your client server was simply infected with malware. Providing support in this scenario is difficult at best.
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