I just found out about this website and I was wondering if it is possible to take a game from Game Maker and put it on here

Sure,

If you make a Windows/Mac/Linux build of your game then you can upload the files. If you make an HTML5 build then you can have it play directly in your game's page. Check here: Uploading HTML5 games

Thanks for the quick answer! I got another thing to ask though :)

I'm super new to the whole being a game designer thing and I need a place to start, and I think I found my place! I'd just like to have a whole bunch of names to engines that itch.io supports. Can you list names off of the tip of your head for me? Thanks :D

EDITS: Spelling

Any game engine should work, are you trying to have your game playable in a browser or be downloadable?

probably in a browser so people won't think viruses COULD be hiding in there