You absolutely can do it. I’ve been doing it every day. You just have to set a key command.
Go to Key Commands / Nudge / Up
and Key Commands / Nudge / Down
and set up a key command. (I use shift + up arrow and shift + down arrow…)
Then back in the project window, select the clip and use the new key commands to move the clip from one lane to the next…
(This won’t change where Cubase “automatically” drops my clips dragged in from other tracks. But once the clip has been dragged onto the correct track (but wrong lane), I use the key command to get the clip onto the lane I desire…)