Yep. I was in class when I felt her move really low, and when I stood up the pressure in my pelvic area was crazy. I had an appointment a few days after that and he said "yep, that was her dropping!". It's uncomfortable....but i've learned to adjust. He said there's still one more major drop to go....eek!
Yes that's normal, dropping is usually a process that takes a few days/weeks and once you've dropped low enough the next stage is for baby to engage, lock and load in the pelvic cavity. If baby had engaged by this stage, that would be abnormal, but to drop by this point is perfectly fine, especially if it's your first.