Yes, and that only works by changing how scoping works. Unless of course you don't care about the variables created inside.

i.e.

    public void DoThing()
    {
       var someVar = SomeStaticClass.FooFunc();
       someVar.DoSomething();
    } 
    catch (Exception x)
    {
       // Scoping rules will need to change
       // to put someVar in scope:
       _logger.Log($"{someVar.GetId()} is invalid");
    } 
    finally 
    {
       someVar.Cleanup();
    }

And this also implies that there's no way to make a variable declared inside the method inaccessible to the catch block without additional changes to the language.