No: Test assumes representationalist theory of mind
By limiting itself to teletyped conversations, test assumes a representationalist theory of mind—ie thinking involves computational operations on symbolic representations. Assuming a representational system's capable of thinking begs the question.
Bennie Shanon, 1989.
Critics of the test have pointed out various thinking phenomena that cannot be accounted for by the representationalist framework.
See, for example, the "Can symbolic representations account for human thinking?" arguments on Map 3.