It is not possible to exclude a product from Actinic search as all the products in catalog are indexed.
However, you could Hide the main product on Website (tick 'Hide on Web Site' on General tab) and then create a duplicate of the hidden product and show them on website (untick 'Hide on Web Site' on General tab). Now, you can then set the search settings not to index duplicates. ('View | Search Settings' and untick 'Index Product Duplicates')
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