Yes you can search based on a repeater field, but that depends on exactly how you want to search these fields.
If you just trying to see if a post has a value in a repeater, yes you can. http://www.advancedcustomfields.com/resources/querying-the-database-for-repeater-sub-field-values/
If you need to find posts where you are looking for values multiple values in the same row that match you aren’t going to be able to do that easily, if at all.
