Access currently logged in User profile from search index view?
I am assuming you are using views module to create this listing. In that case, this is certainly possible. 

But first, I am not sure what you mean by current user. Is this the user who created the particular product? Or is it the currently logged in user?


If the user is the creator of the product node, just add a
relationship to the user using Relationships section in the View.
And then all the user profile fields will be accessible to you in
the Fields section. Easy.
If you're talking about the logged in user, then you can use views_php module. Install views_php and then add a PHP field to your view. In that field's output, write your php code which fetches that particular value. For example, the following code will give you the uid of the user. You can similarly extract more fields from his profile. 

global $user;
echo $user->uid; 



You can inspect this $user object using dsm(), which is provided by devel module to inspect where your field lies in this object. 

One important thing, write the above code in the output section of the views_php field, and INCLUDE php tags.