Automatically converting GeoPackages to ZIP archives with Shapefiles and QML/SLD with native QGIS

Currently we use a third party tool (mygeodata website) to convert our geopackage back to a zip folder with all the contents of the geopackage and the styles intact (even the standard Style Setting). But we want this to do purely in QGIS and not just a simple export but all of the geopackage being exported at once. Is this possible?