plugin for advanced filter and categories for pages

hi,

I have two queries here.

1. can I create categories for pages as well?

2. is there any plugin to meet the features of this page: https://www.incredibleindia.org/travel

for an example:
I create multiple pages and define them in set of categories like, region and interest. now the plugin should have shortcodes, which can allow me to put the filter option on a new page, where if I choose the required filter data, I can get the result down of the page. the results will be of course the various pages.

is it possible? any help?

Thanks,
Raiza