Yes, the negative result can be wrong. The main reason is usually that the pregnancy test has been done too soon, but, as indicated in the article, it can happen because the test is in poor condition, because it is not highly sensitive or because there has been an early miscarriage, among other things.
Can a pregnancy test fail?
By Sara Salgado B.Sc., M.Sc. (embryologist).
Last Update: 10/11/2016
Degree in Biochemistry and Molecular Biology from the University of the Basque Country (UPV/EHU). Master's Degree in Human Assisted Reproduction from the Complutense University of Madrid (UCM). Certificate of University Expert in Genetic Diagnosis Techniques from the University of Valencia (UV).