Certainly! Below is a Roblox Lua script that allows you to control unanchored parts with your mouse by holding the `E` key. You can grab the part and throw it with a left-click. This script works for unanchored parts and allows you to control objects regardless of obstacles in the way, as long as your mouse is over the part.
You will need to insert this script into a LocalScript that is in the StarterPlayerScripts or StarterCharacterScripts