Is there a way to make Alt+LeftClick (holding down Alt while clicking the left mouse button) work the same as a right click so that I don't need the right mouse button?
Can a click be part of a shortcut in keyboard settings?
There is Shift+F10 which is the same like a simple Rightclick.
So you can do a binding on Alt+Left mouse for this combination.
How you can do such binding can be found in this nice topic: How can I change what keys on my keyboard do? (How can I create custom keyboard commands/shortcuts?)