No. The Mouse bindings are not currently configurable.
The scroll wheel scrolls vertically, Shift + Mouse Wheel scrolls horizontally, Ctrl + Mouse Wheel zooms in/out.
Even if the mouse bindings were configurable, the current version of Widgets we use does not properly support horizontal mouse movements. We would need to update Widgets. Because of the changes in later Widgets, extensive coding changes in Audacity would be required.