Your question is a bit ambiguous because I'm not sure whether you're inquiring about the storytelling aspect of creative writing or the actual writing aspect of it. When it comes to storytelling, the answer to your question is absolutely yes. There are fundamentals to storytelling and I'd implore you to watch these two ted talks to get an idea of what those are:
https://www.ted.com/talks/andrew_stanton_the_clues_to_a_great_story?language=enhttp://tedxtalks.ted.com/video/The-Mystery-of-Storytelling-JulThe first talk is by Andrew Stanton, the dude who wrote Toy Story, Wall-E, etc. He provided some cool tips and guidelines for creating an amazing story:
1. the inclusion of personal experiences and values that you hold dearly
2. the ability to invoke wonder - the most important aspect according to Stanton
3. the conveyance of a powerful message or theme
4. the confidence to break away from the norm and do something unique
5. the ability to construct anticipation and make your readers want to know what will happen next
6. the inclusion of an inherent goal/purpose for your character, something that drives them to do the things they do
7. In the beginning itself, show the readers that this story will be something that is worth their time and they should get invested in
The second talk is by an agent. I'm not exactly sure what that is but I think he basically works for a publishing company or something like that. He says that there are three fundamental components to a story:
pity, fear, and catharsis. You start by having some unfortunate and undeserved event befall the character that makes the audience feel pity for him/her. Then, you invoke fear in the audience by having the character go through even tougher, scarier, more painful situations. And then finally you have the catharsis when the character finally overcomes these obstacles.
With writing, the answer is not so simple as it is with storytelling. Yes, there are fundamentals to writing, which is basically whether or not you're literate. Can you write a complete sentence with proper grammar? Of course you can, so that means you already know the fundamentals. It's similar to drawing and painting. Everyone can draw lines and put something together but the end product may look like utter crap. In that same sense, anybody can write a couple sentences and slap them together but will they sound as good as George RR Martin's or Tolkien's? Probably not. So just like with drawing and painting you've got to just practice, practice. Read and write A LOT because writing is an art just like any other form out there. I should probably practice what I preach though because I haven't been doing much writing lately. Some guidelines you can follow with creative writing are things like 'don't use adverbs' and 'alternate the length of your sentences.' You can find more with a simple google search.
Sorry for my rant. I've been doing some research lately and I just wanted to share it with everybody. Hope this helped!