Given that webdav is "just" a protocol, implementation of anything that is specific to a server (Tridion in this case) would require a custom client-side UI for this.
This means that the answer to your question is "No".
You can however control which schema will be used by setting:
- A default schema in your Publication
- A specific schema as mandatory on a given folder to override publication default
There might be something you can do at the Event System level too, but I strongly doubt you'd be able to determine which client was used from the Tridion core (we are adding this functionality but it requires that clients identify themselves).