yes you can!
on the panel you want to move right click/preferences
you can set the position, it says top by default
if you move it to the bottom if i remember correctly it will be positioned under the panel that is already there or you can remove that panel or even move it to the top
about the right click, gnome has a control center, in the system menu/preferences/mouse you can find it, i can't find the exact function you mention or maybe i don't understand the options given