Yep, this happens to me. Whenever I watch something I find really touching and amazing, it makes me want to create something beautiful. I don't know how to sculpt, or paint, or do interpretive dance or whatever, so I turn to writing.
I can totally empathize with the loss of interest in books after reading a rash of boring books. A couple of years ago, I happened to read 3 books back-to-back which, while not completely terrible, were also kinda meh. A lot of the characters in the books died, but I found myself not giving a shit. Worse still, the books were best-sellers, so I thought, "Crap, maybe I've just lost interest in reading!!"
It took a long time for me to gather enough effort and will to pick up another book. Luckily, the next book I picked up was
Gone Girl, and that woke up my appetite for books. I read it in two days and picked up the next book, and the next. My appetite for reading was voracious once more.
But once in a while, I'll come across a dud and I'll have to wait a couple of weeks to bring myself to pick up a different book. It's just so discouraging when you slog through a book you find mediocre. Don't let it stop you from reading altogether though. There are a lot of great books out there. You just have to take it one book at a time.
I think you can still be a creative writer. I'm sure there are writers who don't read much. But I'm willing to bet they're more the exception than the rule.
The thing with reading is that you also pick up good writing from it. It's why whenever I write, I'll also make sure to pick up books with rich, beautiful prose. Even though I write mostly YA, I prefer to read lit fic when I write. It helps to enrich my own writing. (Side note: How many times can one person say "write" in a single paragraph?
)
So for me, it's absolutely necessary to read as much as I can in order to be a good writer.