The short answer
Yes. About one in five pregnant women have little or no nausea, and that is not, by itself, a sign of a problem. Symptoms vary greatly between women and between pregnancies. Regular early ultrasound checks are the reliable way to confirm the pregnancy is progressing.
See early pregnancy checkup and morning sickness.
Answered by Dami Women's Clinic (다미산부인과의원), Yeouido, Seoul · Dr. Ko Sang-hyun, OB/GYN. General information, not a diagnosis. Emergencies in Korea: call 119. Medical disclaimer · International Patient Center