“Is it normal to feel tired after dental implant surgery?”

That depends. There are many reasons why you might feel tired after a dental surgery or procedure. If you were sedated, if you had been anxious leading up to the procedure, if you typically feel tired during times of healing, etc, etc. The things to look out for would be swelling outside of the expected or a fever or symptoms like that that can be indicative of an infection.

Yes, it is.