Is there any chance I can call just the filters and just the search bar, the other shortcodes don’t seem to change this output.
I don’t understand what do you mean by this, can you please explain?
Is there a way to do this with WordPress query code instead of elementor?
Unfortunately no, there is no wordpress integrated shortcode/element that supports this. You can do it on the results page via the live loader feature, but that is different.