It's possible, especially when it comes to things like luck or illusion. Most people know that magic isn't real, but some still tend to fall back on magic as an explanation for a really good illusion.
There is a fine line between holding two beliefs that are in direct contradiction and understanding that something you want to be true is something that you also understand is a misconception, is my point.
There is a term for things like that: "mental gymnastics"
People can naturally hold conflicting ideas or sometimes feel the need to believe things they know aren't true. It's extremely important for people to become more self-aware in that regard as it is something that can be exploited by religions, politicians, cults or scam artists.
Everyone is vulnerable to it, to different degrees. Even in the privacy of our own thoughts, most of us have tried to convince ourselves of something that wasn't true, regardless of any facts we have seen. It's just human nature.