No, that is not grammatical.
It is not true that that implies a relative clause. It can introduce a relative clause, but here it is a complement clause.
It might look like a relative clause because it appears to qualify the noun way, and in anothe context (where way is being used literally) it could do so:
That's the way [that] leads home the quickest.
where it answers the question "which way?"
But in your example sentence, even leaving aside the fact that no way is an idiom which cannot be analysed, "that you are so tall" is not in any sense an answer to the question "which way?"