After a person is vaccinated, could they receive a false-positive result on a COVID-19 test?

The COVID-19 vaccine contains a small snippet of RNA which encodes the instructions for producing the coronavirus “spike” protein, a protein that helps the virus invade healthy cells. The vaccine recipient’s own cells will make some of this specific protein to elicit the body to produce an immune response. Currently available COVID-19 assays test for the presence of genetic material (DNA) or other proteins, and not the spike protein, and thus should not produce a false positive test result. Essentially, the COVID tests look for different proteins than the one injected in the vaccine, so one should not receive a false-positive result on a test. However, the manufactures of the vaccine have not released any official guidance on this question.