Sure, you could have a blog and post your stories on there. Go to www.wordpress.com
I was hoping to make my own website where I can post all my stories for people to read. I'm not very tech savy so I don't really know where to start. Is it even possible to have a website just solely for my stories and drawings?
Undoubtedly, WordPress is the most popular website builder, but you also can choose something else. There are plenty of really great website builders with different interesting features! Checkout this page, for instance www.huffingtonpost.com/alex-ivanovs/wysiwyg-website-builders - you will find the list of website builders with descriptions to each one.