teething this early?

Can a two month old start teething? Last night she was so inconsolable. Her cheeks were getting red and when I was trying to nurse her she wouldn't latch but was screaming her little head off (It was time for her to eat), she was so upset that she was having a hard time inhaling. I sent my mother a video because I was worried she was having a hard time breathing. She suggested teething. This doesn't happen every night, it's happened about twice in the last month. I got an amber teething necklace but my baby is only up for about an hour before she's ready to go back to sleep, don't I have to take it off when she sleeps?