No. Apple Mail cannot open or save a PST, because PST is an Outlook-only container. Mail stores its messages as .emlx and .mbox instead. You convert those Apple files to a .pst first, then open that PST in Outlook, which is exactly what Apple Mail to PST Converter Software is for. If an older .PST refuses to open because of a forgotten password, that's a different fix - a
PST password recovery tool clears it before you open it.