Not in principle. This is the reason why the procedure is carried out without anesthesia. On the other hand, it is likely that the patient has mild discomfort or symptoms like cramping or abdominal pain following the insemination.
In any case, and as long as it is not an intense pain, it should not be an alarming symptom. In the few cases where pain is unbearable, we recommend that you visit your doctor.
Suggested for you: What to Expect After Intrauterine Insemination (IUI).