Yes it's very normal to feel tired or fatigued after having a chiropractic adjustments.
When you have a chiropractic adjustment your body starts adjusting to the new ways your nervous system is reacting due to the chiropractic treatments.
Your body is also going through a toxic release after a chiropractic adjustment and you may also experience things such as diarrhea, tight muscles, night sweats and headaches.
All these things are normal and usually nothing to worry about and it's very common to experience those things after going to the chiropractor but afterwards you should begin to feel much better.