Yes, it happened to me and it is kind of scary and frustrating since I love my long thick hair! It has happened to me SIX times- each time I went off the pill to get pregnant (3 times) and also after the baby is born.
With each time, whether going off the pill or after having a baby, it stopped shortly after I got my period back. And the hair returned to normal. I'm pregnant with my 4th now so at least I know to expect it.
The only thing that bugs me now is i have these little wispy things at my hairline because I had a baby 10 months ago and since I am currently 11 weeks pregnant I think the new preganncy interfered with the hair growth.
Anyway, rest assured what you are going through is normal. I'm betting it will stop soon, probably after you get your period back.
Good luck on trying!!
Marci