No, select lists cannot be configured to show different data based on the request type. The context can only be configured by project. You could probably do it with an app, the one that comes to mind is Elements Connect and use an external database and configure it to populate the select list based on the request type. There might be other apps that would allow you to do this too.
Thanks for the suggestion @Mikael Sandberg
@Jose Manuel Muguiro Here is the page on the documentation for Elements Connect that explains how to associate a custom field to a request type.
If you have any problems getting this set up, don't hesitate to contact Elements support.
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