I would like to know if it is possible to abstract the copy method of case classes. Basically I have something like sealed trait Op and then something like
You seem to be confusing copy with clone. The goal of copy is to make an almost identical copy, but with something changed. What that something might be depends on the parameters of the case class, so it's not possible to make it a common method.
In the case of case class X(), it doesn't make much sense to have a copy method, as there's nothing there to be changed.
On the other hand, clone is a Java method whose goal is to produce perfect copies of an object, which seems to be what you want.