Absolutely. People have claimed "experiences" with anything and everything, it's why testimony is one of the weakest forms of evidence. Scour the tabloids and you'll find plenty of people convinced their wife was impregnanted by Bigfoot on a hike, or any number of things. It's not exceptionally compelling. I was raised from birth trained to believe testimonies claiming hoards zombies roamed the earth, giants, satyrs, chimeras, angels, and demons, but until we get some independently verifiable evidence, claims remain just that, claims.
I saw a talking horse this morning. His name was Rob.