Is there a way to filter or refine search results with this theme?

Hi there,

I am looking to create a blog of photos/products that can be refined via search on the main page. Say, for example, I am a hair stylist and I have a portfolio of different hairstyles that I want my potential clients to be able to search through. I would like them to be able to simple check which type of styles they want to look through. Options could include Short, Medium and Long styles; Braids, Bangs and Up-dos… Is there a way for someone to be able to filter medium hairstyles with braids, for example?

I wonder if any plugins that do this exist and could be compatible with this theme.