immunology - IgA-s in an immune system vaccined intramuscularly against Hepatisis A

As IgA are immunoglobulins associated with secretion and mucosis membranes, I am interested whether after intramuscular vaccination with Hepatitis A vaccine IgA antibodies will be produced by the immune system before an actual infection?

Also, would they be secreted into breast milk, intestine lumen etc. before the infection coming in a traditional (gestational) way?

Or does it take to have the antigen presented at the mucosis mambrane to start IgA production or secretion?