I had one tranquilized WITHOUT my permission. So, yes, it is possible! You can tell because they act like little zombies. Glassy-eyed, too. The one's around here just buy the tranquilizing supplies from vet's.
Some of the groomers also use boxes to dry them in and that also could be a possibility. They are set up as just a box and a blower in the end. It's a heinous and cruel practice. I saw one in a groomer's salon once. Ran like you know what to get out of that place.
Gosh! I hope your little one is OK. Please let us know. What a horrible way to start out grooming!