Generics in Scala: implementing an interface/trait twice?

Given a generic interface such as the following

interface I<T> {
    void m(T t);
}

I can in C# create a class that implements I twice (or more) with different types supplied for T, e.g.

class C : I<int>, I<String> {
   public void m(int i) { }
   public void m(String s) { }
}

This cannot be done in Java due to erasure of the generic type info, but can something like this be achieved in Scala?