No way. You could easily ask any best friend of yours to lie and pretend to be a girl called "Kate".
Look here! I couldn't believed that "Kate" lied about you being in a coma. But after "she" announced that you've only fainted. I didn't believe it.
Here's the logical thought; "Kate" knows your password means that you're close friends. So, if you're close friends; "Kate" wouldn't have wanted to embarrass you like that.
Therefore, you have lied. And you have to admit it. I don't care if everybody else is going to believe your shit. I've made sure, and I know that Kate doesn't exist. I've taken a screenshot of the proof and I'm sticking to my guns. ^^