Yes, and they can manifest themselves in different ways each time. I have had probably five or six in my whole life... I get panicky in HUGE crowds, like NYE at Times Square, and I literally can't breathe and will knock you down to get to a high place. I've had one where I burst out crying and pitched a full-on hissy fit after a car dealership pressured me RELENTLESSLY while I was trying to buy my first new car after my dad had to leave me and go to work, because I couldn't cope with the situation anymore. Thank god this hasn't happened again!
More frequently, I get a rocking sensation when I'm sitting still, or lying in bed. My doctor tells me it's anxiety, but I can't for the life of me put my finger on what triggers these...I think it's just continued stress in my everyday life.
They're all different, and they can be as subtle as what you described, or classic like some that the other posters have had. I would recommend relaxation techniques before I ran to the doctor to get on the latest miracle pill, though. I have a prescription for Xanax, but I have found if I take a step back, focus on what is bugging me, and take a time-out, I usually don't have to take one.