Yes. Although a Turing test is based on knowledge and intelligence, it is also about evaluating how responses are given and whether the answers are interpreted to be sneaky. For example, imagine being asked to provide the sum of 43,219 and 87,878. Whether or not you can provide the correct answer is only part of the exam; the Turing test evaluates how long it takes you provide an answer, any clarifying questions you ask in response, or whether you comprehend to add and not subject the two figures. Based on any human's responses, it is possible to be mistaken for a computer (i.e. if you accidently subtracted instead of added the figures, that may be incriminating evidence).