Yes.
You have to Split your sections/ranges the old way, ie with the Scissors Tool, or Alt + click w/Select Tool.
This way you can have the lanes open for just one of your Drum Tracks, and selections will follow on all tracks.
Folder track and group editing must be in order of corse.
If you use the Comp Tool and drag select your sections/ranges, it behaves as you describe.
But if you are on Cubase 7.5, here is where the Track Versions shine. For multitrack and multiple takes.
You can cut/copy and paste from any track version to another. Even start with a new blank one. Copy good sections from different track versions, to the blank one.
Or the other way around. Choose the overall best take (as in version), and copy from other track versions in a few spots that needs it.
For multitracking drums, the new Track Versions is the way to go IMO. For single channel (multiple takes) recording, Lanes are my preferrable method.