User searching an index they do not have access to via an app or form

I assume the answer is no, but wanted to ask to verify.

I do not want to give a user access to an index, because I do not want them to be able to search against it in the Search app. The user has the need to see only certain things in this index. I already have an app I created with a few search forms, which would allow the user to search for all info they need to see and nothing more.

Is there a way for searches within a search form to run with access to an index to which the logged in user does not have access to? Some kind of run as capability, or assigning an app or form to a Role with access to the index?