Not really. Formal verification methods are mathematically rigorous. They can mathematically prove or disprove correctness of programs and catch bugs that would be extremely difficult for a human to find https://en.wikipedia.org/wiki/Formal_verification

"Formal verification of software programs involves proving that a program satisfies a formal specification of its behavior."

It sounds a lot like writing your specs as tests that are then satisfied by the implementation code.

TLA+ is for building and verifying a formal model of the program (a blueprint), not for verifying the implementation.