The vaccine gives you antibodies to a specific spike protein in the virus.
Most antibody tests detect the presence of antibodies to a different, more prevalent and easier to detect protein antibody.
Therefore, unless you got an antibody test specifically designed to test for the antibodies expected to be generated from a vaccine (which do exist), you probably won't pick it up.
Most antibody tests detect the presence of antibodies to a different, more prevalent and easier to detect protein antibody.
Therefore, unless you got an antibody test specifically designed to test for the antibodies expected to be generated from a vaccine (which do exist), you probably won't pick it up.