Is it at all possible for a permanent porcelain crown to go on the wrong way?

I got my permanent crown put on about a year ago at a dentist office in Florida. About a week ago, it fell out while I was eating and I wasn't even eating anything sticky, so I assume it was just the glue coming loose. My mom told me to just stick it back on, so I did and after a few tries, I got it stuck back on and it felt right. I did notice though that it would go in backwards, but the bite didn't feel right. I went into my new dentist in Texas to get it cemented back on. See photo for story