Adding an Object to the Page Editor in Child Theme

background:
Okay I admit that I have limited knowledge on this subject but I am interested in learning more. SO I noticed that in the Page Builder ( the interface that allows you to add Sliders, Header, Search, ect… ) to a page that there are objects that can be added and I wondered if these Page objects are the same objects in the frameworks directory within the core theme ( using directorypress here ).

question:
Can I use the hooks and filters in my child theme’s functions.php to add objects, i.e. modify the Search object so I can modify the input field types. Can I also create new objects that I can select to use on the page builder interface? Mostly to just rearrange html structure.