The answer is yes. Women who have anembryonic pregnancy may have a positive pregnancy test result. In addition, during the first trimester of pregnancy, the woman may experience symptoms such as nausea, fatigue, vomiting, i.e., the usual symptoms of early pregnancy.
Although there is no embryo in the embryo sac, the cells of the placenta continue to produce hCG hormone. As a consequence of the existence of this hormone, the pregnancy test is still positive.