If you like playing games then you should get a computer capable of playing them, getting a gaming laptop isn't the best choice but you definitely want to be able to do that in college if that's what you're interested in. I have a laptop that I brought with me to college that runs games fine on medium settings which is all I need.
and i suggest no; with a bit of effort you can probably find more interesting and relevant uses of your time other than games. and if it really comes down to it you'll find a way to get games back even without a gaming laptop.
You shouldn't do this, obviously you want to do other stuff and be social in college but if gaming is something that you enjoy then make it work.
or a chromebook
I would strongly advise against this, unless all you want to do with the computer is write stuff and watch Netflix.