I'm making a game using LOVE2D and I'm almost finished. However, I'm worried; can the user install the game without even installing Love2d itself? If so how can I extract it?
The distribution of games created by you is documented in this page: Love2D - Game Distribution.
In short, when you want to distribute a game, you can simply package it in .zip and rename it to a .love. Running this requires that the user has Love2D installed.
However, you can also create a self-executable package from your game, this means that you will distribute a single executable and the users do not have to install anything. This is also documented in the page.