Scolling the mouse will move the timeline left and right.
For zooming in and out of the timeline scroll the mouse while holding ALT.
It will zoom in and out on the position of the mouse.
I dont think up and down is possible.
Yes, I already knew that. What I am wondering about is if there is a way to change those settings to match Cubase. Most good programs will allow you to change these things.
Short answer: nope.
With multiple programs, you might want to look into various control surfaces, or keyboards, as many can be programmed to provide similar functions in the GUI of different programs. These are specialized peripherals, but are used by many with their DAW's and their NLE's.
That is about as close as it will get, and be sure to check the compatibility with PrE, sepecifically. Many work well with PrPro, but you want to be sure that it would work with PrE, as well as Cubase.