Yes, it's certainly possible that thinking different (or being contrarian, or stubborn, or creative, or whatever you want to call it) will lead to something great! It is also extremely unlikely unless you are in a brand new field such as quantum physics 100 years ago that whatever idea you had has already been considered by countless people before you and you are not special.
The reason most startups fail is more than just bad execution. It's because most startups weren't meant to exist because they just don't solve a problem people are willing to pay enough to make the company a profit. That doesn't mean you shouldn't try it if you really think you're onto something - but you should be aware the odds are wildly against you.