Not that I can think of.
You can assign any editor command (advanced mouse opiton), but none of them scrolls 3 lines, and keeps the caret on its screen pos.
You can set the wheel to "move the caret" like a click would do. But that will move the caret to wherever the mouse is, and it will first move the caret then do the action (it's designed for a click).
Well actually, you can assign it to a macro, if you can write a macro doing what you want.... And if that ends up fast enough.
Advanced mouse options, double click the wheel action, first drop down "ide command", then 2nd dropdown towards the end of the list, chose the macro.