Of course it's possible! You can do anything you set your mind to! My dad was a very successful, self-taught musician. You can find some nice tutorials for learning the basics on YouTube. Wishing you the best of luck! (:
my advice is to get a good book to help you. I started off with hal leonard's books and the songs are really simple but that is the only way to really learn. then you can move on to the rock shop books, but if you go to a guitar store to get your guitar an employee can help you find the right book. you don't need to know how to read music either but it sure helps! maybe if you can you should take one or 2 lessons just to learn the very basics, especially if you are not particularly musically inclined but it is definitely possible with lots of hard work and dedication! good luck :)